; and for training, employment and case management services, allowances for job search and relocation, and related State administrative expenses under part II of subchapter B of chapter 2 of title II of the Trade Act of 1974, and including benefit payments, allowances, training, employment and case management services, and related State administration provided pursuant to section 231(a) of the Trade Adjustment Assistance Extension Act of 2011, sections 405(a) and 406 of the Trade Preferences Extension Act of 2015, and section 285(a) of the Trade Act of 1974, as amended, $30,700,000 together with such amounts as may be necessary to be charged to the subsequent appropriation for payments for any period subsequent to September 15, 2024: Provided, That notwithstanding section 502 of this Act, any part of the appropriation provided under this heading may remain available for obligation beyond the current fiscal year pursuant to the authorities of section 245(c) of the Trade Act of 1974 ( 19 U.S.C. 2317(c) ). STATE UNEMPLOYMENT INSURANCE AND EMPLOYMENT SERVICE OPERATIONS (Including Transfer of Funds) For authorized administrative expenses, $84,066,000, together with not to exceed $3,988,084,000 which may be expended from the Employment Security Administration Account in the Unemployment Trust Fund ( the Trust Fund ), of which— (1) $3,206,635,000 from the Trust Fund is for grants to States for the administration of State unemployment insurance laws as authorized under title III of the Social Security Act (including not less than $382,000,000 to carry out reemployment services and eligibility assessments under section 306 of such Act, any claimants of regular compensation, as defined in such section, including those who are profiled as most likely to exhaust their benefits, may be eligible for such services and assessments: Provided , That of such amount, $117,000,000 is specified for grants under section 306 of the Social Security Act and is provided to meet the terms of section 251(b)(2)(E)(ii) of the Balanced Budget