Except as provided in paragraph (2), the term “eligible institution” means an institution of higher education, as defined in section
1002 of this title, except that, for the purposes of sections
1077
(a)(2)(C)(i) and
1078
(b)(1)(M)(i) of this title, an eligible institution includes any institution that is within this definition without regard to whether such institution is participating in any program under this subchapter and part
C of subchapter
I of chapter
34 of title
42 and includes any institution ineligible for participation in any program under this part pursuant to paragraph (2) of this subsection.