The lien provided for by this act [48-3-22 to 48-3-27 NMSA 1978] shall be a cumulative remedy and shall not be construed to limit the remedies otherwise provided by law to a creditor against his debtor. The lien provided for by this act and the method and procedure for enforcement thereof is in addition to and not a substitution for any other lien and procedure for enforcement otherwise provided by law.
NMS § 48-3-24