Except as provided in §§ 11-293 and 36-183.01 and title 36, chapter 29,1 the board of supervisors may provide for the hospitalization and medical care of the sick in the county and, to the extent that such expenses are not covered by a third party payor, to persons under the supervision of a county corrections agency. For the purposes of this subsection, third party payor does not include the Arizona healthcare cost containment system or the Arizona long-term care system and hospitalization and medical care does not include long-termcare.