; or (bb) through intermediated channels (such as food hubs and cooperatives); and (II) with respect to the school food authority purchasing the farm product, is produced and distributed— (aa) in the State in which the school food authority is located; or (bb) not more than 250 miles from the location of the school food authority. (ii) Additional payment eligibility During a school year, a school food authority shall receive an additional payment described in clause (iii) if the State certifies that the school food authority served meals (including breakfasts, lunches, suppers, and supplements) during the last school year of which not less than 25 percent were made with locally-sourced farm products. (iii) Payment amount (I) In general The additional payment amount under this subparagraph shall be— (aa) $0.30 for each free lunch and supper; (bb) $0.21 for each free breakfast