Exhibit 10.2
Execution Version
NON-REDEMPTION AGREEMENT
This NON-REDEMPTION AGREEMENT (this Agreement), dated as of July 9, 2023, is
made by and among Alpha Healthcare Acquisition Corp. III, a Delaware corporation (the Company or ALPA), and the Backstop Investor (as defined below).
WHEREAS, the Company is a special purpose acquisition company whose Class A Common Stock (Common Stock) is traded on
The Nasdaq Capital Market under the symbol ALPA, and whose warrants (Warrants) are traded on The Nasdaq Capital Market under the symbol ALPAW, among other securities of the Company;
WHEREAS, the Company, Candy Merger Sub, Inc., a Delaware corporation and wholly owned subsidiary of ALPA (Merger Sub), and
Carmell Therapeutics Corporation (Carmell), have entered into a Transaction Agreement, dated as of January 4, 2023 (as may be amended from time to time, the Transaction Agreement), pursuant to which Merger
Sub will merge with and into Carmell, with Carmell surviving as a wholly owned subsidiary of ALPA (such transaction, the Business Combination);
WHEREAS, the Company and the Backstop Investor on behalf of certain funds, investors, entities or accounts that are managed, sponsored or
advised by the Backstop Investor or its affiliates (the Backstop Investor) are entering into this Agreement in anticipation of the closing of the Business Combination contemplated by the Transaction Agreement;
WHEREAS, pursuant to the Companys Second Amended and Restated Certificate of Incorporation, effective March 22, 2021 (the
COI), in its capacity as a holder of Common Stock, the Backstop Investor has the right to require that the Company redeem the Backstop Investor Shares held by the Backstop Investor in connection with the Business Combination, for
the Redemption Price (as defined in the COI), representing the right to receive the Backstop Investors portion of the funds currently in the Companys trust account, to the extent the Backstop Investor exercises such redemption right;
WHEREAS, the Company filed a definitive merger proxy, dated June 23, 2023, with a deadline to exercise the redemption rights of
shares of Common Stock of 5:00 p.m., local time, on July 7, 2023 (two Business Days before the special meeting (the Meeting) of stockholders of the Company to approve the Business Combination) (the Redemption
Deadline);
WHEREAS, pursuant to the terms of this Agreement, if a redemption was previously submitted by the Backstop Investor
for the number of shares of Common Stock as set forth in Exhibit A hereto (the Backstop Investor Shares), the Backstop Investor desires to reverse the redemption request solely with respect to the Backstop Investor
Shares subject to this Agreement; for the avoidance of doubt, the Backstop Investor may have voting and investment power over additional shares of Common Stock which will not be subject to this Agreement (such shares, Non-Backstop Investor Shares) and the Backstop Investor retains the right in its sole discretion not to reverse any redemption request previously submitted with respect to any such Non-Backstop Investor Shares; and
WHEREAS, all capitalized terms used but not defined herein shall have
the respective meanings specified in the Transaction Agreement.