A person eligible for benefits under this part shall be eligible for authorized medical and health care at U.S. Government expense, and for payment of other authorized expenses related to such care or for obtaining such care for any illness or injury which is determined by the Secretary of State to be caused or materially aggravated by the hostage situation, to the extent that such care may not—

(a) Be provided or paid for under any other Government health or medical program, including, but not limited to, the programs administered by the Secretary of Defense, the Secretary of Labor and the Administrator of Veterans Affairs; or

(b) Be entitled to reimbursement by any private or Government health insurance or comparable plan.