not later than October 1, 2024, will provide assistance described in subsection (d)(2) to every child in the State who is described in that subsection, and is from a family with a family income of not more than 85 percent of the State median income for a family of the same size, before the applicant expands the program involved to provide such assistance to children from additional families. (g) Payments (1) In general For each of fiscal years 2024 through 2029: (A) Child care assistance for eligible children (i) In general The Secretary shall pay to each State with an approved application under subsection (f), and that State shall be entitled to, an amount for each quarter equal to 90 percent of expenditures (which shall be the Federal share of such expenditures) in the quarter for direct child care services described under subsection (h)(2) for eligible children. (ii) Exception Funds reserved from the total under subsection (h)(3) shall be subject to subparagraph (B). (iii) Prohibition Activities described in subparagraph (B) or (C) may not be included in the cost of direct child care services described in this subparagraph. (B) Activities to improve the quality and supply of child care services The Secretary shall pay to each State with such an approved application, and that State shall be entitled to, the FMAP of expenditures (which shall be the Federal share of such expenditures) to carry out activities to improve the quality and supply of child care services under subsection (h)(3) subject to the limit specified in subparagraph (A) of such subsection. (C) Administration The Secretary shall pay to each State with such an approved application, and that State shall be entitled to, an amount equal to 50 percent of expenditures (which shall be the Federal share of such expenditures) for the costs of administration incurred by the State— (i) which shall include costs incurred by the State in carrying out the child care program established in this section