If the Department of Public Safety and Corrections makes a placement of a child committed to its legal custody in a foster home or child care institution for which the department claims funding under 42 U.S.C. §672(c), it shall be subject to the permanency planning requirements of Chapters 13, 15, and 16 of Title VI, except that the time limitations for the preparation of case plans, and administrative and judicial reviews shall date from the time when such an initial placement is made.