N.M. Stat. § 37-2-6
[Proceeding with remaining parties when no survival of
action.]
Where one of several plaintiffs or defendants dies, or his powers as a personal
representative cease, if the cause of action do [does] not admit of survivorship, and the
court is of opinion that the merits of the controversy can be properly determined, and
the principles applicable to the case fully settled, it may proceed to try the same as
between the remaining parties, but the judgment shall not prejudice any who were not
parties at the time of the trial.