§ 459-f. Fees for services. Any program defined in subdivision four of section four hundred fifty-nine-a of this article may charge a service fee to a victim of domestic violence who is able to pay all or part of the costs of the emergency shelter and services provided to the victim. Payments by a social services district to a residential program for victims of domestic violence for the costs of emergency shelter and services provided to a victim of domestic violence at the daily reimbursement rate determined by the department in accordance with section one hundred thirty-one-u of this chapter shall be reduced by the sum of all fees which such victim is able to pay toward the costs of such shelter and services as determined in accordance with the public assistance budgeting rules set forth in the regulations of the department and by any third party reimbursement available for such costs.