The Service, Indian tribe, urban Indian organization, or tribal organization shall be reimbursed by the Department of Veterans Affairs or the Department of Defense (as the case may be) where services are provided through the Service, an Indian tribe, an urban Indian organization, or a tribal organization to beneficiaries eligible for services from either such Department, notwithstanding any other provision of law, regardless of whether such services are provided directly by the Service, an Indian tribe, or tribal organization, through purchased/referred care, or through a contract for travel described in section 1621l(b) of this title.