N.M. Stat. § 59A-18-26
Payment discharges insurer.
Whenever the proceeds of or payments under a life or health insurance policy or
annuity contract heretofore or hereafter issued become payable in accordance with the
terms of the policy or contract, or exercise of any right or privilege thereunder, and the
insurer makes payment thereof in accordance with the terms of the policy or contract or
in accordance with any written assignment thereof, the person then designated in the
policy, contract or assignment as being entitled thereto shall be entitled to receive such
proceeds or payments and to give full acquittance therefor; and such payments shall
fully discharge the insurer from all claims under the policy or contract unless, before
payment is made, the insurer has received at its home office written notice by or on
behalf of some other person that such other person claims to be entitled to such
payment or some interest in the policy or contract.