Promoting Equality of Athletic Opportunity; Creating the "Promoting Equality of Athletic Opportunity Act"; requiring that certain athletic teams or sports sponsored by certain educational institutions be designated on the basis of students’ biological sex; prohibiting athletic teams or sports designated for female students from being open to male students; specifying conditions under which persons who transition from male to female are eligible to compete in the female category; requiring a student that fails to comply with certain conditions to be suspended from female competition for 12 months; requiring the Board of Governors of the State University System to adopt regulations and the State Board of Education to adopt rules regarding the resolution of disputes, etc.