N.M. Admin. Code § 19.27.1.12
Upon receipt of an acceptable application the state engineer shall prepare and issue a notice for publication and shall send it to the applicant with instructions that it be published weekly for three consecutive weeks in a newspaper of general circulation within the county in which the well is to be drilled. Cost of publication shall be borne by the applicant who shall also see that the newspaper's affidavit of publication is filed with the state engineer within sixty (60) days from date of issuance of the notice for publication. If the application is for a new appropriation, failure to file affidavit of publication within the time allowed shall cause postponement of the priority date of the application to the date of receipt of such proof in proper form. In the case of any other type of application, failure to file proofs within the time allowed shall cause the application to be cancelled. The issuance of a notice for publication does not in any way indicate favorable action on the application by the state engineer.
N.M. Admin. Code § 19.27.1.12