The answer is on the DOH website
Medical Cannabis Program - Infectious Disease Bureau

Q: Can I use medical cannabis anywhere in New Mexico?
A: No. It is illegal to possess or use medical cannabis in a public vehicle, on school grounds or property, in the workplace of the patient or primary caregiver, or at a public park, recreation center, youth center or other public place. The law does not provide protection on federal property such as airports, immigration check-points and federal parks. It is still illegal to operate a motor vehicle while under the influence of cannabis.