N.M. Stat. § 53-20-5
Prohibited change of name; penalties.
If a foreign business trust authorized to transact business in this state changes its
name to one under which a certificate of authority would not be granted to it on
application therefor, the certificate of authority of the foreign business trust shall be
suspended, and it shall not thereafter transact business in this state until it changes its
name to a name that is available to it under the laws of this state and obtains a
certificate of correction or amendment.