This chapter does not apply to:
(1) a person who is employed full-time by and is commissioned as a campus security personnel employee by a private institution of higher education under Section 51.212, Education Code; or
(2) a peace officer commissioned by an incorporated municipality who is hired under Section 51.212, Education Code, on a regular basis by a private institution of higher education while that peace officer is operating within the scope of the peace officer's employment with the institution of higher education.