; and (F) (i) to ensure that the project sponsor complies with design and mitigation commitments for the project made jointly by the lead agency and the project sponsor; and (ii) to ensure that environmental documents are appropriately supplemented if changes become necessary with respect to the project. (d) Participating agencies (1) Applicability (A) Inapplicability to covered projects The procedures under this subsection shall not apply to a covered project (as defined in section 41001 of the FAST Act ( 42 U.S.C. 4370m ))— (i) for which a project initiation notice has been submitted pursuant to section 41003(a) of that Act ( 42 U.S.C. 4370m–2(a) ); and (ii) that is carried out in accordance with the procedures described in that notice. (B) Designations for categories of projects The Secretary concerned may exercise the authority under this subsection with respect to— (i) a project; (ii) a class of projects; or (iii) a program of projects. (2) Federal participating agencies Any Federal agency that is invited by a lead agency to participate in the environmental review process for a project shall be designated as a participating agency by the lead agency, unless the invited agency informs the lead agency, in writing, by the deadline specified in the invitation, that the invited agency has no responsibility for or interest in the project. (3) Federal cooperating agencies A Federal agency that has not been invited by a lead agency to participate in the environmental review process for a project, but that is required to make an authorization or carry out an action for a project, shall— (A) notify the lead agency of the financing, environmental review, authorization, or other responsibilities of the notifying Federal agency with respect to the project