The Secretary shall establish a program under which Indian tribes, tribal organizations, and Alaska Native health organizations that contract or compact for the operation of a hospital or clinic of the Service under the Indian Self-Determination and Education Assistance Act [
25 U.S.C.
450 et seq.] may elect to directly bill for, and receive payment for, health care services provided by such hospital or clinic for which payment is made under title XVIII of the Social Security Act (
42 U.S.C.
1395 et seq.) (in this section referred to as the “medicare program”), under a State plan for medical assistance approved under title XIX of the Social Security Act (
42 U.S.C.
1396 et seq.) (in this section referred to as the “medicaid program”), or from any other third party payor.