N.M. Stat. § 39-3-20
Current through 2024, ch. 69
If any party to an appeal or writ of error dies after appeal is taken or writ of error sued out, but before final judgment thereon, the appeal or writ of error shall not abate thereby. The death shall be suggested to the supreme court or court of appeals by any surviving party, and the court shall proceed as may be provided by rule of procedure.
NMS § 39-3-20