The position classification plan does not apply to:
(1) a constitutional officer or official;
(2) an elected officer or official;
(3) an officer appointed by the governor;
(4) the chief executive of a state agency;
(5) a teacher in a public school, special school of the state, or state institution of higher education;
(6) personnel in state institutions of higher education;
(7) a professional compensated for services on a fee basis; and
(8) an employment excluded from the plan:
(A) by executive order of the governor; or
(B) at the direction of the legislature.