(A) shall include
(i) a private or State institution of higher education and the division of the institution that prepares teachers and principals;
(ii) a
school of arts and sciences; and
(iii) a high-need local educational agency; and
(B) may include another local educational agency, a public
school">charter
school, an elementary
school or secondary
school, an educational service agency, a
nonprofit">
nonprofit educational organization, another institution of higher education, a
school of arts and sciences within such an institution, the division of such an institution that prepares teachers and principals, a
nonprofit">
nonprofit cultural organization, an entity carrying out a prekindergarten program, a teacher organization, a principal organization, or a business.