New mexico constitution
Article VI: judicial department
Section 28

Three judges of the court of appeals shall constitute a quorum for the transaction of business, and a majority of those participating must concur in any judgment of the court.
When necessary, the chief justice of the supreme court may designate any justice of the supreme court, or any district judge of the state, to act as a judge of the court of appeals, and the chief justice may designate any judge of the court of appeals to hold court in any district, or to act as a justice of the supreme court.