Exhibit 24

                               POWER OF ATTORNEY
             FOR EXECUTING FORM ID, FORMS 3, FORMS 4 AND FORMS 5,
                  FORM 144 AND SCHEDULE 13D AND SCHEDULE 13G

The undersigned hereby constitutes and appoints Gregory A. Beard, Sarah James,
Charlie Talcott and Brian Maguire, or any of them acting without the other, with
full power of substitution, as the undersigned's true and lawful attorney-in-
fact to:

        (1) Execute for and on behalf of the undersigned, in the undersigned's
            capacity as an officer and/or director of Beard Energy Transition
            Acquisition Corp., a Form ID (including amendments thereto), or any
            other forms prescribed by the Securities and Exchange Commission
            (the "SEC"), that may be necessary to obtain codes and passwords
            enabling the undersigned to make electronic filings with the SEC of
            the forms referenced in clause (2) below;

        (2) Execute for and on behalf of the undersigned, in the undersigned's
            capacity as an officer and/or director of  Beard Energy Transition
            Acquisition Corp., any (a) Form 3, Form 4 and Form 5 (including
            amendments thereto) in accordance with Section 16(a) of the
            Securities Exchange Act of 1934, as amended (the "Exchange Act"),
            and the rules thereunder, (b) Form 144 (including amendments
            thereto), in accordance with Rule 144 of the Securities Act of 1933,
            as amended (the "Securities Act"), and the rules thereunder, and (c)
            Schedule 13D and Schedule 13G (including amendments thereto) in
            accordance with Sections 13(d) and 13(g) of the Exchange Act, but
            only to the extent each form or schedule relates to the
            undersigned's beneficial ownership of securities of Beard Energy
            Transition Acquisition Corp. or any of its subsidiaries;

        (3) Do and perform any and all acts for and on behalf of the undersigned
            that may be necessary or desirable to complete and execute any Form
            ID, Form 3, Form 4, Form 5, Form 144, Schedule 13D or Schedule 13G
            (including amendments thereto) and timely file the forms or
            schedules with the SEC and any stock exchange or quotation system,
            self-regulatory association or any other authority, and provide a
            copy as required by law or advisable to such persons as the
            attorney-in-fact deems appropriate; and

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

The undersigned hereby grants to the attorney-in-fact full power and authority
to do and perform all and every act requisite, necessary or proper to be done in
the exercise of any of the rights and powers granted herein, 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 the attorney-in-fact shall lawfully do or cause to be done by virtue of
this Power of Attorney and the rights and powers granted herein. The undersigned
acknowledges that the attorney-in-fact, in serving in such capacity at the
request of the undersigned, is not assuming (nor is Beard Energy Transition
Acquisition Corp. assuming) any of the undersigned's responsibilities to comply
with Section 16 of the Exchange Act or Rule 144 of the Securities Act.

The undersigned agrees that the attorney-in-fact may rely entirely on
information furnished orally or in writing by or at the direction of the
undersigned to the attorney-in-fact. The undersigned also agrees to indemnify
and hold harmless Beard Energy Transition Acquisition Corp. and the attorney-in-
fact against any losses, claims, damages or liabilities (or actions in these
respects) that arise out of or are based upon any untrue statements or omissions
of necessary facts in the information provided by or at the direction of the
undersigned, or upon the lack of timeliness in the delivery of information by or
at the direction of the undersigned, to the attorney-in fact for purposes of
executing, acknowledging, delivering or filing a Form ID, Form 3, Form 4, Form
5, Form 144, Schedule 13D or Schedule 13G (including amendments thereto) with
respect to the undersigned's holdings of and transactions in securities issued
by Beard Energy Transition Acquisition Corp. and agrees to reimburse Beard
Energy Transition Acquisition Corp. and the attorney-in-fact on demand for any
legal or other expenses reasonably incurred in connection with investigating or
defending against any such loss, claim, damage, liability or action.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Form ID, Form 3, Form 4, Form 5, Form
144, Schedule 13D and Schedule 13G (including amendments thereto) with respect
to the undersigned's holdings of and transactions in securities issued by Beard
Energy Transition Acquisition Corp., unless earlier revoked by the undersigned
in a signed writing delivered to the attorney-in-fact. This Power of Attorney
does not revoke any other power of attorney that the undersigned has previously
granted.

                           [Signature Page Follows]

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of the date written below.

Dated: October 5, 2021

            /s/ Robert C. Reeves
            -------------------------
            Robert C. Reeves