Not sure how that is going to work. NM has a pre-emption clause and a quick search shows (hate to quote Giffords but...)
Article II, § 6 of the Constitution of New Mexico, which provides citizens of New Mexico with the right to bear arms, was amended in 1986 to include the following: “
No municipality or county shall regulate, in any way, an incident of the right to keep and bear arms.”
In 2002, the Supreme Court of New Mexico had occasion to interpret article II, § 6 of the Constitution of New Mexico. In
Baca v. New Mexico Dept. of Public Safety, the plaintiff challenged a provision of New Mexico’s Concealed Handgun Carry Act that provided municipalities and counties with the authority to prohibit the carrying of concealed weapons, arguing that the provision delegated to localities the power to regulate an incident of the right to keep and bear arms in violation of Article II, § 6.
2 The court agreed and held that the provision was unconstitutional. It found that the broad language of Article II, § 6 prohibiting municipalities and counties from regulating an incident of the right to keep and bear arms in any way indicated the intent to preclude piecemeal administration at a local level and to ensure uniformity in the regulation of firearms throughout New Mexico.
3 The court also concluded that the manner in which a person bears a weapon is an “incident of the right to bear arms” under article II, § 6.
4
Maybe she's testing that and will argue they city didn't create the law, she did