Sec. 5. (a) As used in this chapter, "state agency" means an authority, a board, a branch, a commission, a committee, a department, a division, or another instrumentality of the executive, including the administrative department of state government, including the following:
(1) A state elected official's office.
(2) A state educational institution.
(3) A body corporate and politic of the state created by state statute.
(b) The term does not include the judicial or legislative department of state government.