N.M. Stat. § 20-12-7
Advice; reviews and appeals; extraordinary writs.
A. The advice of the staff judge advocate prescribed by Article 34, Uniform Code of
Military Justice and the review required by Article 64, Uniform Code of Military Justice
shall be accomplished by the state judge advocate or his designee.
B. Appeals shall be taken according to the rules of appellate procedure applying to
criminal cases tried in the district courts.
C. The action of the convening authority as to an approved sentence shall continue
in effect while an appeal is pending.
D. Extraordinary writs may issue from the New Mexico supreme court upon such
grounds as the United States court of military appeals may similarly act in federal
courts-martial, following the New Mexico rules of appellate procedures applicable
thereto.