N.M. Stat. § 53-2-2
Authority to make refunds.
In response to a written claim for a refund for overpayment of a fee collected by the
commission [secretary of state] pursuant to Section 53-2-1 NMSA 1978, the
commission [secretary of state] or its delegate may authorize the refund to a
corporation, a foreign corporation or a person of any amount determined by the
commission [secretary of state] or its delegate to have been erroneously paid to the
commission [secretary of state].