N.M. Stat. § 53-19-64
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.
NMS § 53-19-64