N.M. Stat. § 73-15-10
No property shall be taken until just compensation has been paid according to law. But where a trial by jury is demanded under the preceding section [73-15-9 NMSA 1978], the board may pay into court, in money, the amount allowed by the appraisers, with the costs, and thereupon the court shall make an order admitting the said district into possession of the property. And thereupon the board may enter into undisturbed possession of the property and rights involved. The right of entry provided herein shall be a cumulative remedy and additional to the district's right of possession during the pendency of condemnation proceedings under the provisions of Chapter XXXIV of the Codification of 1915, and all amendatory or supplementary acts thereto.
NMS § 73-15-10