Prior to commencement of its performance, a full service education cooperative contract made pursuant to 20-7-451, 20-7-452, and 20-7-454 through 20-7-456 must be:
(1) submitted to the superintendent of public instruction who has final approval authority pursuant to the policies of the board of public education;
(2) filed with the county clerk and recorder of the county or counties in which the school districts involved are located; and
(3) filed with the secretary of state.