N.M. Stat. § 7-1-35
Stay of levy.
Levy shall not be made on the property or rights to property of any taxpayer who
furnishes security in accordance with the provisions of Section 7-1-54 NMSA 1978. A
levy made under authority of Section 7-1-31 NMSA 1978 shall be released as otherwise
provided in the Tax Administration Act upon compliance by a taxpayer with the pertinent
provisions of Section 7-1-54 NMSA 1978.