An anesthesiologist assistant shall:
A. be a current or future employee of a university in New Mexico with a medical school; or
B. in a practice other than one at a university in New Mexico with a medical school:
(1) be certified as an anesthesiologist assistant by the national commission for certification of anesthesiologist assistants;
(2) practice only in a health facility licensed by the department of health where anesthesiologists who are licensed physicians and who are board-certified as anesthesiologists by the American board of anesthesiology are on staff as employees or contractors;
(3) practice only in a class A county; and
(4) be supervised by a licensed anesthesiologist who is physically present at all times in the health facility while supervising an anesthesiologist assistant.