POWER OF ATTORNEY

     KNOW ALL BY THESE PRESENTS, that the undersigned hereby authorizes
Christopher Savoie and Nicole Fitchpatric of Zapata Computing Holdings Inc.
(the "Company") and Stacie S. Aarestad of Foley Hoag LLP, each acting singly,
to execute and cause to be filed with the United States Securities and
Exchange Commission any and all documents or filings, including any amendments
thereto, required to be so filed. The undersigned hereby grants to the
attorney-in-fact full power and authority to do and perform any and every
act and thing whatsoever requisite, necessary or proper to be done in the
exercise of any of the rights and powers herein granted, as fully to all
intents and purposes as the undersigned might or could do personally present,
with full power of substitution, resubstitution or revocation, hereby
ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause
to be done by virtue of this power of attorney and the rights and powers
herein granted. The undersigned acknowledges that the foregoing
attorney-in-fact, or such attorney-in-fact's substitute, in serving in
such capacity at the request of the undersigned, is not assuming, nor is
the Company assuming, any liability from the undersigned's responsibilities
to comply with all applicable laws, including Sections 13 and 16 of the
Securities Exchange Act of 1934 (the "Exchange Act").

     This Power of Attorney shall remain in full force and effect until
the earliest to occur of (a) the undersigned is no longer required to file
Forms 3, 4 and 5 in accordance with Section 16(a) of the Exchange Act with
respect to the undersigned's holdings of and transactions in securities
issued by the Company, (b) revocation by the undersigned in a signed writing
delivered to the Company and the foregoing attorney-in-fact and (c) as to
any attorney-in-fact individually, until such attorney-in-fact is no longer
employed by the Company or employed by or a partner at Foley Hoag LLP, or
another law firm representing the Company, as applicable.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 2nd day of February, 2024.

 /s/ William Matthew Brown
Name: William Matthew Brown