The health care benefits and services specified in this article, to the extent that the benefits and services are neither provided under any other federal or state law nor provided nor available under other contractual or legal entitlements of the person, shall be provided to any patient who is a resident of this state and is made eligible by this article. After the patient has utilized the contractual or legal entitlements, the payment liability under Section 125166 shall then be applied to the remaining cost of genetically handicapped persons’ services.