Description of Organization and Business Operations | Note 1-Description of Organization and Business Operations RMG Acquisition Corp. III (the “Company”) is a blank check company, also referred to as a special purpose acquisition company, incorporated as a Cayman Islands exempted company on December 23, 2020. The Company was incorporated for the purpose of effecting a merger, share exchange, asset acquisition, share purchase, reorganization or similar business combination with one or more businesses that the Company has not yet identified (“Business Combination”). As of September 30, 2023, the Company had not yet commenced operations. All activity for the period from December 23, 2020 (inception) through September 30, 2023 relates to the Company’s formation and the initial public offering (the “Initial Public Offering”), and identifying a target company for an initial Business Combination, which is described below. The Company will not generate any operating revenues until after the completion of its initial Business Combination, at the earliest. The Company will generate non-operating income in the form of interest income on cash and cash equivalents from the proceeds derived from the Initial Public Offering. The Company has selected December 31 as its fiscal year end. The Company’s sponsor is RMG Sponsor III, LLC, a Delaware limited liability company (the “Sponsor”). The registration statement for the Company’s Initial Public Offering was declared effective on February 4, 2021. On February 9, 2021, the Company consummated its Initial Public Offering of 48,300,000 units (the “Units” and, with respect to the Class A ordinary shares included in the Units being offered, the “Public Shares”), including 6,300,000 additional Units to cover over-allotments (the “Over-Allotment Units”), at $10.00 per Unit, generating gross proceeds of $483.0 million, and incurring offering costs of approximately $27.1 million, of which approximately $16.9 million was for deferred underwriting commissions and $250,000 was for deferred legal fees (Note 7). Simultaneously with the closing of the Initial Public Offering, the Company consummated the private placement (“Private Placement”) of 8,216,330 warrants (each, a “Private Placement Warrant” and collectively, the “Private Placement Warrants”) at a price of $1.50 per Private Placement Warrant to the Sponsor, generating proceeds of approximately $12.3 million (Note 5). Upon the closing of the Initial Public Offering and the Private Placement, $483.0 million ($10.00 per Unit) of the net proceeds of the Initial Public Offering and certain of the proceeds of the Private Placement was placed in a trust account (“Trust Account”) with Continental Stock Transfer & Trust Company acting as trustee and have been invested in United States government treasury bills with a maturity of 185 days or less or in money market funds investing solely in U.S. Treasuries and meeting certain conditions under Rule 2a-7 under the Investment Company Act 1940, as amended, or the Investment Company Act, as determined by the Company, until the earlier of: (i) the completion of a Business Combination and (ii) the distribution of the Trust Account as described below. The Company’s management has broad discretion with respect to the specific application of the net proceeds of its Initial Public Offering and the sale of Private Placement Warrants, although substantially all of the net proceeds are intended to be applied generally toward consummating a Business Combination. The Company’s initial Business Combination must be with one or more operating businesses or assets with a fair market value equal to at least 80% of the net assets held in the Trust Account (excluding the deferred underwriting commissions and taxes payable on the income earned on the Trust Account) at the time the Company signs a definitive agreement in connection with the initial Business Combination. However, the Company will only complete a Business Combination if the post-transaction company owns or acquires 50% or more of the outstanding voting securities of the target or otherwise acquires a controlling interest in the target sufficient for it not to be required to register as an investment company under the Investment Company Act. The Company will provide its holders of Public Shares (the “Public Shareholders”) with the opportunity to redeem all or a portion of their Public Shares upon the completion of a Business Combination either (i) in connection with a shareholder meeting called to approve the Business Combination or (ii) by means of a tender offer. The decision as to whether the Company will seek shareholder approval of a Business Combination or conduct a tender offer will be made by the Company, solely in its discretion. The Public Shareholders will be entitled to redeem their Public Shares for a pro rata portion of the amount then in the Trust Account (initially anticipated to be $10.00 per share, plus any pro rata interest earned on the funds held in the Trust Account and not previously released to the Company to pay its tax obligations, expenses relating to the administration of the Trust Account and withdrawals for working capital). The per-share amount to be distributed to Public Shareholders who redeem their Public Shares will not be reduced by the deferred underwriting commissions the Company will pay to the underwriters (as discussed in Note 7). These Public Shares will be recorded at a redemption value and classified as temporary equity upon the completion of the Initial Public Offering, in accordance with the Financial Accounting Standards Board’s (“FASB”) Accounting Standards Codification (“ASC”) Topic 480 “Distinguishing Liabilities from Equity” (“ASC 480”). In such case, the Company will proceed with a Business Combination if the Company has net tangible assets of at least $5,000,001 upon such consummation of a Business Combination and a majority of the shares voted are voted in favor of the Business Combination. If a shareholder vote is not required by law and the Company does not decide to hold a shareholder vote for business or other legal reasons, the Company will, pursuant to the amended and restated memorandum and articles of association which will be adopted by the Company upon the consummation of the Initial Public Offering (the “Amended and Restated Memorandum and Articles of Association”), conduct the redemptions pursuant to the tender offer rules of the U.S. Securities and Exchange Commission (the “SEC”), and file tender offer documents with the SEC prior to completing a Business Combination. If, however, a shareholder approval of the transactions is required by law, or the Company decides to obtain shareholder approval for business or legal reasons, the Company will offer to redeem shares in conjunction with a proxy solicitation pursuant to the proxy rules and not pursuant to the tender offer rules. Additionally, each Public Shareholder may elect to redeem their Public Shares irrespective of whether they vote for or against the proposed transaction. If the Company seeks shareholder approval in connection with a Business Combination, the holders of the Founder Shares prior to this Initial Public Offering (the “Initial Shareholders”) agreed to vote their Founder Shares (as defined in Note 6) and any Public Shares purchased during or after the Initial Public Offering in favor of a Business Combination. In addition, the Initial Shareholders agreed to waive their redemption rights with respect to their Founder Shares and Public Shares in connection with the completion of a Business Combination. In addition, the Company agreed not to enter into a definitive agreement regarding an initial Business Combination without the prior consent of the Sponsor. Notwithstanding the foregoing, the Company’s Amended and Restated Memorandum and Articles of Association will provide that a Public Shareholder, together with any affiliate of such shareholder or any other person with whom such shareholder is acting in concert or as a “group” (as defined under Section 13 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”)), will be restricted from redeeming its shares with respect to more than an aggregate of 15% or more of the Class A ordinary shares sold in the Initial Public Offering, without the prior consent of the Company. The Company’s Sponsor, executive officers and directors agreed not to propose an amendment to the Company’s Amended and Restated Memorandum and Articles of Association that would affect the substance or timing of the Company’s obligation to provide for the redemption of its Public Shares in connection with a Business Combination or to redeem 100% of its Public Shares if the Company does not complete a Business Combination, unless the Company provides the Public Shareholders with the opportunity to redeem their Class A ordinary shares in conjunction with any such amendment. On January 11, 2023, the Company held an extraordinary general meeting of shareholders for the purpose of approving an amendment to the amended and restated memorandum and articles of association to extend the date by which the Company must complete a Business Combination from February 9, 2023, to May 9, 2023 (the “Extended Date”), and to allow the Company, without another shareholder vote, to elect to further extend the date to consummate a Business Combination up to three times by an additional month each time after the Extended Date, upon two days’ advance notice prior to the applicable deadline, for a total of up to six months, to August 9, 2023, if the Company had entered into a definitive business combination agreement (the “First Extension”). In connection with the First Extension, holders of 47,381,598 Class A ordinary shares elected to redeem their Class A ordinary shares for an aggregate of approximately $478 million in cash. On August 4, 2023, the Company held an extraordinary general meeting for the purpose of approving an amendment and restatement of the amended and restated memorandum and articles of association to extend the date by which the Company must complete a Business Combination from August 9, 2023 to February 9, 2024 (the “Second Extension”). In addition, the shareholders approved the proposal to amend and restate the Company’s charter to eliminate the limitation that the Company shall not redeem public shares to the extent that such redemptions would cause the Company’s net tangible assets to be less than $5,000,001 following such redemptions. In connection with the Second Extension, holders of 282,624 Class A ordinary shares elected to redeem their Class A ordinary shares for an aggregate of approximately $3 million in cash. If the Company is unable to complete a Business Combination by February 9, 2024, (the “Combination Period”), the Company will (1) cease all operations except for the purpose of winding up; (2) as promptly as reasonably possible but not more than 10 business days thereafter, redeem the Public Shares, at a per-share price, payable in cash, equal to the aggregate amount then on deposit in the Trust Account, including interest (less up to $100,000 of interest to pay dissolution expenses and which interest shall be net of taxes payable, expenses relating to the administration of the Trust Account and limited withdrawals for working capital), divided by the number of then issued and outstanding Public Shares, which redemption will completely extinguish Public Shareholders’ rights as shareholders (including the right to receive further liquidating distributions, if any); and (3) as promptly as reasonably possible following such redemption, subject to the approval of the remaining shareholders and the board of directors, liquidate and dissolve, subject in each case to the Company’s obligations under Cayman Islands law to provide for claims of creditors and the requirements of other applicable law. The Initial Shareholders agreed to waive their liquidation rights with respect to the Founder Shares if the Company fails to complete a Business Combination within the Combination Period. However, if the Initial Shareholders should acquire Public Shares in or after the Initial Public Offering, they will be entitled to liquidating distributions from the Trust Account with respect to such Public Shares if the Company fails to complete a Business Combination within the Combination Period. The underwriters agreed to waive their rights to their deferred underwriting commission (see Note 7) held in the Trust Account in the event the Company does not complete a Business Combination within the Combination Period and, in such event, such amounts will be included with the funds held in the Trust Account that will be available to fund the redemption of the Company’s Public Shares. In the event of such distribution, it is possible that the per share value of the residual assets remaining available for distribution (including Trust Account assets) will be only $10.00 per share initially held in the Trust Account. In order to protect the amounts held in the Trust Account, the Sponsor agreed that it will be liable to the Company if and to the extent any claims by a third party for services rendered or products sold to the Company, or a prospective target business with which the Company has entered into a written letter of intent, confidentiality or other similar agreement or business combination agreement, reduce the amount of funds in the Trust Account to below the lesser of (i) $10.00 per Public Share and (ii) the actual amount per Public Share held in the Trust Account as of the date of the liquidation of the Trust Account, if less than $10.00 per share due to reductions in the value of the trust assets, less taxes payable, expenses relating to the administration of the Trust Account and limited withdrawals for working capital, provided that such liability will not apply to any claims by a third party or prospective target business who executed a waiver of any and all rights to the monies held in the Trust Account (whether or not such waiver is enforceable) nor will it apply to any claims under the Company’s indemnity of the underwriters of the Initial Public Offering against certain liabilities, including liabilities under the Securities Act of 1933, as amended (the “Securities Act”). In the event that an executed waiver is deemed to be unenforceable against a third party, the Sponsor will not be responsible to the extent of any liability for such third-party claims. The Company will seek to reduce the possibility that the Sponsor will have to indemnify the Trust Account due to claims of creditors by endeavoring to have vendors, service providers (except the Company’s independent registered public accounting firm), prospective target businesses or other entities with which the Company does business, execute agreements with the Company waiving any right, title, interest or claim of any kind in or to monies held in the Trust Account. On June 20, 2023, the Company received a written notice (the “Notice”) from the Listing Qualifications Department (the “Staff”) of The Nasdaq Stock Market LLC (“Nasdaq”) notifying the Company that, for the last 30 consecutive business days, the Company’s Market Value of Listed Securities (“MVLS”) was below the minimum of $35 million required for continued listing on the Nasdaq Capital Market pursuant to Nasdaq Listing Rule 5550(b)(2) (the “Market Value Standard”). The Staff also noted that the Company does not meet the requirements under Nasdaq Listing Rules 5550(b)(1) (Equity Standard) and 5550(b)(3) (Net Income Standard). The Notice does not impact the listing of the Company’s Class A ordinary shares par value $0.0001 per share (“Class A ordinary shares”), on the Nasdaq Capital Market at this time. The Notice provided that, in accordance with Nasdaq Listing Rule 5810(c)(3)(C) (the “Compliance Period Rule”), the Company has a period of 180 calendar days from the date of the Notice, or until December 18, 2023 (the “Compliance Date”), to regain compliance with the Market Value Standard. During this period, Class A ordinary shares will continue to trade on the Nasdaq Capital Market. If at any time before the Compliance Date the Company’s MVLS closes at or above $35 million for a minimum of 10 consecutive business days as required under the Compliance Period Rule, the Staff will provide written notification to the Company that it has regained compliance with the Market Value Standard and will close the matter (unless the Staff exercises its discretion to extend this 10 business day period pursuant to Nasdaq Listing Rule 5810(c)(3)(H)). If the Company does not regain compliance with the Market Value Standard by the Compliance Date, the Staff will provide a written notification to the Company that Class A ordinary shares will be subject to delisting. At that time, the Company may appeal the Staff’s delisting determination to a Hearings Panel (the “Panel”). However, there can be no assurance that, if the Company receives a delisting notice and appeals the delisting determination by the Staff to the Panel, such appeal would be successful. The Company intends to monitor its MVLS between now and the Compliance Date, and may, if appropriate, evaluate available options to resolve the deficiency under the Market Value Standard and regain compliance with the Market Value Standard. The Company may also try to comply with another Nasdaq listing criteria, such as the one under Nasdaq Listing Rule 5550(b)(1) (Equity Standard). However, there can be no assurance that the Company will be able to regain or maintain compliance with Nasdaq listing criteria. Going Concern As of September 30, 2023, the Company had approximately $311,000 in its operating bank account and a working capital deficit of approximately $7.5 million. Further, the Company has incurred and expects to continue to incur significant costs in pursuit of its financing and acquisition plans. These factors, among others, raise substantial doubt about the Company’s ability to continue as a going concern within one year after the date that the unaudited condensed financial statements are issued. The Company’s liquidity needs to date have been satisfied through a payment of $25,000 from Sponsor to cover certain expenses in exchange for the issuance of the Founder Shares (as defined in Note 4), the loan of $135,000 from the Sponsor pursuant to the Note (as defined in Note 4), the proceeds from the consummation of the Private Placement not held in the Trust Account, and the funds withdrawn from the Trust Account for working capital purposes. The Company fully repaid the Note on February 12, 2021. In addition, in order to finance transaction costs in connection with a Business Combination, the Sponsor or an affiliate of the Sponsor, or certain of the Company’s officers and directors may provide the Company Working Capital Loans (as defined in Note 4). As of September 30, 2023 and December 31, 2022, there was $850,000 and $500,000, respectively, outstanding under Working Capital Loans. Pursuant to the Investment Management Trust Agreement between the Company and Continental Stock Transfer & Trust Company, dated as of February 4, 2021 (the “Investment Management Trust Agreement”), the Company is permitted to withdraw funds for working capital requirements. These permitted withdrawals are limited to only the interest available that has been earned in excess of the initial deposit at the Initial Public Offering. As of September 30, 2023, the Company has earned a total of $5,913,216 of investment income from the Trust Account, of which a total of $4,304,076 has been withdrawn to redeeming shareholders and a total of $1,311,725 has been withdrawn for working capital purposes. As of September 30, 2023 and December 31, 2022, the Company withdrew $1,230,308 and $43,317, respectively, for working capital purposes. In connection with the Company’s assessment of going concern considerations in accordance with FASB ASC Topic 205-40, “Presentation of Financial Statements-Going Concern,” management has determined that the working capital deficit and the mandatory liquidation date and subsequent dissolution raises substantial doubt about the Company’s ability to continue as a going concern. If the Company is unable to complete a Business Combination by February 9, 2024, then the Company will cease all operations except for the purpose of liquidating. No adjustments have been made to the carrying amounts of assets or liabilities should we be required to liquidate after February 9, 2024. The unaudited condensed financial statements do not include any adjustment that might be necessary if the Company is unable to continue as a going concern. | Note 1-Description of Organization and Business Operations RMG Acquisition Corp. III (the “ Company SPAC Business Combination As of December 31, 2022, the Company had not yet commenced operations. All activity for the period from December 23, 2020 (inception) through December 31, 2022 relates to the Company’s formation and the initial public offering (the “ Initial Public Offering The Company’s sponsor is RMG Sponsor III, LLC, a Delaware limited liability company (the “ Sponsor Over-Allotment Units Simultaneously with the closing of the Initial Public Offering, the Company consummated the private placement (“ Private Placement Private Placement Warrant Private Placement Warrants Upon the closing of the Initial Public Offering and the Private Placement, $483.0 million ($10.00 per Unit) of the net proceeds of the Initial Public Offering and certain of the proceeds of the Private Placement was placed in a trust account (“ Trust Account The Company’s management has broad discretion with respect to the specific application of the net proceeds of its Initial Public Offering and the sale of Private Placement Warrants, although substantially all of the net proceeds are intended to be applied generally toward consummating a Business Combination. The Company’s initial Business Combination must be with one or more operating businesses or assets with a fair market value equal to at least 80% of the net assets held in the Trust Account (excluding the deferred underwriting commissions and taxes payable on the income earned on the Trust Account) at the time the Company signs a definitive agreement in connection with the initial Business Combination. However, the Company will only complete a Business Combination if the post-transaction company owns or acquires 50% or more of the outstanding voting securities of the target or otherwise acquires a controlling interest in the target sufficient for it not to be required to register as an investment company under the Investment Company Act. The Company will provide its holders of Public Shares (the “ Public Shareholders not previously released to the Company to pay its tax obligations, expenses relating to the administration of the trust account and limited withdrawals for working capital). The per-share amount to be distributed to Public Shareholders who redeem their Public Shares will not be reduced by the deferred underwriting commissions the Company will pay to the underwriters (as discussed in Note 7). These Public Shares will be recorded at a redemption value and classified as temporary equity upon the completion of the Initial Public Offering, in accordance with the Financial Accounting Standards Board’s (“ FASB ASC ASC 480 Amended and Restated Memorandum and Articles of Association SEC Initial Shareholders Notwithstanding the foregoing, the Company’s Amended and Restated Memorandum and Articles of Association will provide that a Public Shareholder, together with any affiliate of such shareholder or any other person with whom such shareholder is acting in concert or as a “group” (as defined under Section 13 of the Securities Exchange Act of 1934, as amended (the “ Exchange Act The Company’s Sponsor, executive officers and directors agreed not to propose an amendment to the Company’s Amended and Restated Memorandum and Articles of Association that would affect the substance or timing of the Company’s obligation to provide for the redemption of its Public Shares in connection with a Business Combination or to redeem 100% of its Public Shares if the Company does not complete a Business Combination, unless the Company provides the Public Shareholders with the opportunity to redeem their Class A ordinary shares in conjunction with any such amendment. If the Company is unable to complete a Business Combination by May 9, 2023 or, if the Company has entered into a definitive business combination agreement, August 9, 2023, (the “ Combination Period The Initial Shareholders agreed to waive their liquidation rights with respect to the Founder Shares if the Company fails to complete a Business Combination within the Combination Period. However, if the Initial Shareholders should acquire Public Shares in or after the Initial Public Offering, they will be entitled to liquidating distributions from the Trust Account with respect to such Public Shares if the Company fails to complete a Business Combination within the Combination Period. The underwriters agreed to waive their rights to their deferred underwriting commission (see Note 7) held in the Trust Account in the event the Company does not complete a Business Combination within the Combination Period and, in such event, such amounts will be included with the funds held in the Trust Account that will be available to fund the redemption of the Company’s Public Shares. In the event of such distribution, it is possible that the per share value of the residual assets remaining available for distribution (including Trust Account assets) will be only $10.00 per share initially held in the Trust Account. In order to protect the amounts held in the Trust Account, the Sponsor agreed that it will be liable to the Company if and to the extent any claims by a third party for services rendered or products sold to the Company, or a prospective target business with which the Company has entered into a written letter of intent, confidentiality or other similar agreement or business combination agreement, reduce the amount of funds in the Trust Account to below the lesser of (i) $10.00 per Public Share and (ii) the actual amount per Public Share held in the Trust Account as of the date of the liquidation of the Trust Account, if less than $10.00 per share due to reductions in the value of the trust assets, less taxes payable, expenses relating to the administration of the trust account and limited withdrawals for working capital, provided that such liability will not apply to any claims by a third party or prospective target business who executed a waiver of any and all rights to the monies held in the Trust Account (whether or not such waiver is enforceable) nor will it apply to any claims under the Company’s indemnity of the underwriters of the Initial Public Offering against certain liabilities, including liabilities under the Securities Act of 1933, as amended (the “ Securities Act Going Concern As of December 31, 2022, the Company had approximately $22,000 in its operating bank account and a working capital deficit of approximately $1.1 million. Further, the Company has incurred and expects to continue to incur significant costs in pursuit of its financing and acquisition plans. These factors, among others, raise substantial doubt about the Company’s ability to continue as a going concern within one year after the date that the financial statements are issued. The Company’s liquidity needs to date have been satisfied through a payment of $25,000 from Sponsor to cover certain expenses in exchange for the issuance of the Founder Shares (as defined in Note 4), the loan of $135,000 from the Sponsor pursuant to the Note (as defined in Note 4), and the proceeds from the consummation of the Private Placement not held in the Trust Account. The Company fully repaid the Note on February 12, 2021. In addition, in order to finance transaction costs in connection with a Business Combination, the Sponsor or an affiliate of the Sponsor, or certain of the Company’s officers and directors may provide the Company Working Capital Loans (as defined in Note 4). As of December 31, 2022 and 2021, there was $500,000 and $0, respectively, outstanding under any Working Capital Loan. In connection with the Company’s assessment of going concern considerations in accordance with FASB ASC Topic 205-40, “Presentation of Financial Statements-Going Concern,” management has determined that the working capital deficit and the mandatory liquidation date and subsequent dissolution raises substantial doubt about the Company’s ability to continue as a going concern. If the Company is unable to complete a business combination by May 9, 2023 (unless such a period is extended as described herein), then the Company will cease all operations except for the purpose of liquidating. No adjustments have been made to the carrying amounts of assets or liabilities should we be required to liquidate after May 9, 2023 or, if we have entered into a definitive business combination agreement, August 9, 2023. The financial statements do not include any adjustment that might be necessary if the Company is unable to continue as a going concern. |