This chapter shall not be construed so as to prevent the Department of Finance and Administration from permanently assigning aircraft to departments, institutions, commissions or agencies thereof. However, all airplanes owned by the State of Mississippi or by any department, institution, bureau, commission or agency thereof, with the exception of planes owned and operated by the various educational institutions of this state for educational purposes, shall be subject to the record-keeping provisions of this chapter and, in the discretion of the Department of Finance and Administration, such aircraft may be subject to the provisions of Section 61-13-15(2).