N.M. Stat. § 53-13-6
Unless the commission [secretary of state] disapproves pursuant to Subsection A of Section 53-18-2 NMSA 1978, the amendment shall become effective upon delivery of the articles of amendment to the commission [secretary of state] or on such later date, not more than thirty days subsequent to the delivery thereof to the commission [secretary of state], as shall be provided for in the articles of amendment. No amendment shall affect any existing cause of action in favor of or against the corporation or any pending suit to which the corporation is a party or the existing rights of persons other than shareholders; and, in the event the corporate name is changed by amendment, no suit brought by or against the corporation under its former name shall abate for that reason.
NMS § 53-13-6