N.M. Stat. § 19-4-34
Each and every person, association and company of persons, who shall be entitled to any lots, pieces or parcels of land so held in trust by the authorities of any incorporated town, and respecting which there shall be no controversy, shall, within three months after the expiration of the time for filing statements, as provided in Section 19-4-10 NMSA 1978, pay to such corporate authorities the sum of money chargeable upon such piece or parcel of land, and the fees for executing a deed therefor. And in case of failure so to do, such person or persons shall be deemed to have relinquished all right, title, interest or estate thereto, and such corporate authorities shall thereafter be, and deemed to be, seized of the title thereto in fee simple, absolute, free and discharged of such trust, and no conveyance, other than the receipt of the United States land office or patent of the lands including the same shall be necessary to perfect their title thereto, and also all persons, company or association of persons, who, by the determination and judgment of the court, shall be adjudged to have the rightful title to such lands, shall within three months of such adjudication and judgment, pay to such corporate authorities the sum of money chargeable to such lands, together with the fees for executing a deed to the same; and in case of failure so to do, such person, company or association, shall be deemed to have relinquished all right, title, interest or estate, in said lands, and such corporate authorities shall be, and deemed to be, seized and possessed of the title thereto to their own use in fee simple, absolute and no further conveyance shall be necessary to perfect their absolute title thereto.
NMS § 19-4-34