N.M. Stat. § 40-6A-208
Child support orders for two or more obligees.
In responding to registrations or petitions for enforcement of two or more child
support orders in effect at the same time with regard to the same obligor and different
individual obligees, at least one of which was issued by a tribunal of another state or a
foreign country, a tribunal of this state shall enforce those orders in the same manner as
if the orders had been issued by a tribunal of this state.