N.M. Stat. § 2-7F-3
Residence.
At the time of filing a declaration of candidacy for the office of representative, a
candidate shall reside in the district for which the candidate files. Thereafter, if a
representative permanently removes the representative's residence from or maintains
no residence in the district from which the representative was elected, the
representative shall be deemed to have resigned, and a successor shall be selected as
provided in Section 4 [2-7F-4 NMSA 1978] of the 2021 House Redistricting Act.