After the petitioner has made payment in full to the clerk of the district court in accordance with the judgment in the condemnation action, the clerk shall certify upon the judgment that payment has been made thereon.
A copy of this judgment showing payment shall be recorded in the office of the county clerk of the county in which the property is situate, and thereupon the title or interest in the property affected shall vest in the petitioner.
NMS § 42-2-16