is assigned to or placed in an institution of higher education through or in compliance with the requirements of—
(A) a program under title I of the Workforce Innovation and Opportunity Act [ 29 U.S.C. 3111 et seq.];
(B) an employment and training program under this section, subject to the condition that the course or program of study— (i) is part of a program of career and technical education (as defined in section 2302 of title 20 ) that may be completed in not more than 4 years at an institution of higher education (as defined in section 1002 of title 20 ); or (ii) is limited to remedial courses, basic adult education, literacy, or English as a second language;
(C) a program under section 2296 of title 19 ; or
(D) another program for the purpose of employment and training operated by a State or local government, as determined to be appropriate by the Secretary;