N.M. Stat. § 53-17-14
Amended certificate of authority.
A foreign corporation authorized to transact business in this state shall procure an
amended certificate of authority in the event it changes its corporate name or desires to
pursue in this state other or additional purposes than those set forth in its prior
application for a certificate of authority by making application therefor to the commission
[secretary of state]. The requirements in respect to the form and contents of the
application, the manner of its execution, the filing of an original and a copy, which may
be a photocopy of the original after it was signed or a photocopy that is conformed to
the original, with the commission [secretary of state], the issuance of an amended
certificate of authority and the effect thereof shall be the same as in the case of an
original application for a certificate of authority.