N.M. Stat. § 34-5-11
Court of appeals; quorum; decisions; rehearings.
Three judges of the court of appeals constitute a quorum for the transaction of
business, but not more than three judges shall sit in any matter on appeal. Decisions of
the court shall be in writing with the grounds stated, and the result shall be concurred in
by at least two judges. If any judge who participated in a hearing is unable for any
reason to participate in a rehearing, or consideration of a motion for rehearing, of any
matter, any other judge or acting judge of the court of appeals may participate in
consideration of the motion or the case on rehearing.