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                             June 5, 2023

       Rajiv Shukla
       Chief Executive Officer
       ALPHA HEALTHCARE ACQUISITION CORP III
       1177 Avenue of the Americas, 5th Floor
       New York, New York 10036

                                                        Re: ALPHA HEALTHCARE
ACQUISITION CORP III
                                                            Amendment No. 3 to
Registration Statement on Form S-4
                                                            Filed May 26, 2023
                                                            File No. 333-269773

       Dear Rajiv Shukla:

             We have reviewed your amended registration statement and have the
following
       comments. In some of our comments, we may ask you to provide us with
information so we
       may better understand your disclosure.

              Please respond to this letter by amending your registration
statement and providing the
       requested information. If you do not believe our comments apply to your
facts and
       circumstances or do not believe an amendment is appropriate, please tell
us why in your
       response.

              After reviewing any amendment to your registration statement and
the information you
       provide in response to these comments, we may have additional comments.
Unless we note
       otherwise, our references to prior comments are to comments in our May
18, 2023 letter.

       Amendment No. 3 to Registration Statement on Form S-4

       Q: What is the expected per share value of the cash consideration to be
received by Carmell in
       the Business Combination?, page 9

   1.                                                   We note your disclosure
describing your table on page 9 as "a calculation of the net cash
                                                        per New Carmell common
stock resulting from the proceeds of the Trust
                                                        Account." Please amend
your disclosure to show the potential impact of redemptions on
                                                        the per share value of
the shares owned by non-redeeming shareholders at each
                                                        redemption level,
taking into account not only the money in the trust account, but the post-
                                                        transaction equity
value of the combined company. Your disclosure should show the
                                                        impact of certain
equity issuances on the per share value of the shares, including the
                                                        exercises of public and
private warrants under each redemption scenario.
 Rajiv Shukla
ALPHA HEALTHCARE ACQUISITION CORP III
June 5, 2023
Page 2
Background of the Business Combination
Negotiations with Carmell, page 83

2.    We note your response to comment 2, and your amended disclosure on page
86, including
      the following:

             "Pursuant to the Common Stock Purchase Agreement and subject to
the satisfaction
           of the conditions set forth in the Common Stock Purchase Agreement,
the Combined
           Company will have the right, after the Closing Date from time to
time, to sell to such
           an investor up to $25.0 million worth of shares of New Carmell
Common Stock
           subject to certain limitations and conditions set forth in the
Common Stock Purchase
           Agreement;" and

             "The Common Stock Purchase Agreement will provide for a Commitment
Fee in the
           amount of $218,750 payable in shares of New Carmell Common Stock."

      Please amend your disclosure to provide additional detail about the
conditions set forth in
      the Common Stock Purchase Agreement, including any discount to market
price to be
      paid by the investor for New Carmell shares. In addition, revise your
prospectus summary
      to describe the agreement, including the commitment fee payable to the
investor in the
      form of commitment shares and any other material terms, and update your
estimated
      ownership percentages upon completion of the business combination
throughout your
      filing to account for the estimated commitment shares. Finally, please
include a separate,
      specific risk factor to address the potential dilutive effect of your
equity line agreement
      with the investor.
       You may contact Michael Fay at (202) 551-3812 or Brian Cascio at (202)
551-3676 if
you have questions regarding comments on the financial statements and related
matters. Please
contact Jessica Ansart at (202) 551-4511 or Katherine Bagley at (202) 551-2545
with any other
questions.



                                                            Sincerely,

FirstName LastNameRajiv Shukla            Division of Corporation Finance
                                          Office of Industrial Applications and
Comapany NameALPHA HEALTHCARE ACQUISITION CORP III
                                          Services
June 5, 2023 Page 2
cc:       Jocelyn M. Arel, Esq.
FirstName LastName