N.M. Stat. § 53-19-64
Execution by judicial act.
Any person who is adversely affected by the failure or refusal of any person to
execute or file any articles or other document to be filed pursuant to the Limited Liability
Company Act may petition the court in the county where the registered office of the
limited liability company is located or, if no such address is on file with the commission
[secretary of state], in Santa Fe county, to direct the execution and filing of the articles
or other document. If the court finds that it is proper for the articles or other document to
be executed and filed and that there has been failure or refusal to execute and file such
articles or other documents, it shall order the commission [secretary of state] to file the
appropriate articles or other document.