N.M. Stat. § 45-2-515
Deposit of will with court in testator's lifetime.
A will may be deposited by the testator or his agent with the clerk of any district court
in New Mexico for safekeeping pursuant to rules of that court. The will shall be kept
confidential. During the testator's lifetime, a deposited will shall be delivered only to him
or to a person authorized in writing signed by him to receive the will. A conservator may
be allowed to examine a deposited will of a protected testator under district court
procedures designed to maintain the confidential character of the document to the
extent possible and to assure that it will be resealed and left on deposit after the
examination. Upon being informed of the testator's death, the district court clerk shall
notify any person designated to receive the will and deliver it to him on request, or the
court clerk may deliver the will to the appropriate court.