Upon dissolution, liquidation, or other termination of the Authority: (1) All rights and properties of the Authority shall pass to and be vested in the District, subject to the rights of lien holders and other creditors; (2) Any net earnings of the Authority, beyond that necessary for retirement of any indebtedness or to implement a public purpose or program of the District authorized under this chapter, shall not inure to the benefit of any person other than the District; (3) The expenditure of any net earnings shall be restricted to costs related to the direct delivery of health care to residents of the District.