N.M. Stat. § 44-7A-32
Saving clause.
The Uniform Arbitration Act [44-7A-1 NMSA 1978] does not affect an action or
proceeding commenced or right accrued before that act takes effect, subject to Section
3 [44-7A-3 NMSA 1978] of that act.
N.M. Stat. § 44-7A-32