N.M. Stat. § 63-9B-8
Appeal of orders of the commission.
A cellular service company or other person in interest being aggrieved by an order or
determination of the commission under the Cellular Telephone Services Act may file a
notice of appeal in the supreme court asking for a review of the commission's final
orders. A notice of appeal shall be filed within thirty days after the entry of the
commission's final order. Every notice of appeal shall name the commission as appellee
and shall identify the order from which the appeal is taken. Any person whose rights
may be directly affected by the appeal may appear and become a party, or the supreme
court may upon proper notice order any person to be joined as a party.