N.M. Stat. § 53-4-21
Referendum.
The articles or by-laws [bylaws] may provide that within a specified period of time
any action taken by the directors must be referred to the members for approval or
disapproval if demanded by petition of at least ten percent (10%) of all the members or
by vote of at least a majority of the directors. However, the rights of third parties which
have vested between the time of such action and such referendum shall not be impaired
thereby.