A university or college district shall mean the area belonging to an educational institution (a college or university authorized by the State of New York to award degrees), which may contain structures and facilities directly and principally connected to the institution's mission of education. These may include classroom facilities, offices, research laboratories, facilities for health and wellness care, facilities for outdoor education and recreation, cultural facilities, student and faculty housing, and facilities necessary for the maintenance of buildings and grounds. It shall exclude any property which produces income from rent, lease, or business activities not demonstrated to have a direct and primary relationship to education activities.