For each academic year, the governing board of each general academic teaching institution shall determine whether to adopt an admissions policy under which an applicant to the institution as a first-time freshman student, other than an applicant eligible for admission under § 51.803, shall be admitted to the institution if the applicant:
(1) graduated from a public or private high school in this state accredited by a generally recognized accrediting organization with a grade point average in the top 25 percent of the applicant’s high school graduating class; and
(2) satisfies the requirements of:
(A) § 51.803(a)(2)(A) or 51.803(b), as applicable to the student, or § 51.803 (a)(2)(B); and
(B) Sections 51.803(c)(2) and 51.803(d).