POWER OF ATTORNEY

        Know all by these presents, that the undersigned hereby makes,
constitutes and appoints James Muchmore, with full power of substitution, as
the undersigned's true and lawful attorney-in-fact to:

       (1)   prepare, execute in the undersigned's name and on the
             undersigned's behalf, and submit to the U.S. Securities and
             Exchange Commission (the "SEC") a Form ID, including amendments
             thereto, and any other documents necessary or appropriate to
             obtain codes and passwords enabling the undersigned to make
             electronic filings with the SEC of reports required by Section
             16(a) of the Securities Exchange Act of 1934 or any rule or
             regulation of the SEC;

       (2)   execute for and on behalf of the undersigned, in the undersigned's
             capacity as an officer and/or director of Bridger Aerospace Group
             Holdings, Inc., a Delaware corporation (the "Company"), Forms 3,
             4, and 5, including amendments thereto, in accordance with Section
             16(a) of the Securities Exchange Act of 1934 and the rules and
             regulations thereunder;

       (3)   do and perform any and all acts for and on behalf of the
             undersigned which may be necessary or desirable to complete and
             execute any such Form 3, 4, or 5, complete and execute any
             amendment or amendments thereto, and timely file such form with
             the SEC and any stock exchange or similar authority; and

       (4)   take any other action of any type whatsoever in connection with
             the foregoing which, in the opinion of such attorney-in-fact, may
             be of benefit to, in the best interest of, or legally required by,
             the undersigned, it being understood that the documents executed
             by such attorney-in-fact on behalf of the undersigned pursuant to
             this Power of Attorney shall be in such form and shall contain
             such terms and conditions as such attorney-in-fact may approve in
             such attorney-in-fact's discretion.

        The undersigned hereby grants to such 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 if personally present, with full power of substitution 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, in
serving in such capacity at the request of the undersigned, is not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to
comply with Section 16 of the Securities Exchange Act of 1934.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier (a) revoked by the undersigned in a signed writing delivered to
the foregoing attorneys-in-fact or (b) superseded by a new power of attorney
regarding the purposes outlined herein at a later date.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 2nd day of December, 2022.

                                   /s/ Matthew Sheehy
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                                                    Signature

                                   Matthew Sheehy
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