new budget authority equivalent to the amount rescinded is hereby appropriated, to remain available until expended, for the same purposes and under the same authorities as they were originally appropriated, and shall be in addition to any other funds available for such purposes: Provided , That the amounts appropriated by this section may also be used for investigations and are available until expended: Provided further , That such amount is designated by the Congress as being for an emergency requirement pursuant to section 251(b)(2)(A)(i) of the Balanced Budget and Emergency Deficit Control Act of 1985. 10603. The Coronavirus Aid, Relief, and Economic Security Act (P.L. 116–136) is amended by striking section 18001(a)(3): Provided , That amounts repurposed pursuant to the amendment made by this section that were previously designated by the Congress as an emergency requirement pursuant to the Balanced Budget and Emergency Deficit Control Act of 1985 are designated by the Congress as an emergency requirement pursuant to section 251(b)(2)(A)(i) of the Balanced Budget and Emergency Deficit Control Act of 1985. 10604. Section 18005(a) of the Coronavirus Aid, Relief, and Economic Security Act (P.L. 116–136) is amended by inserting including subsections (a)(4)(A)(i) and (c) of such section after section 1117 and by inserting Such equitable services shall be provided by the local educational agency in which the students reside, and the amount of funds available for such equitable services shall be based on the number of nonpublic school students who were identified in the calculation under section 1117(c)(1) of the ESEA for purposes of Title I–A during the 2019–2020 school year relative to the sum of such students in public schools during the 2019–2020 school year. after representatives of nonpublic schools. : Provided , That amounts repurposed pursuant to the amendment made by this section that were previously designated by the Congress as an emergency requirement pursuant to the Balanced Budget and Emergency