I accept your white flag and conceding you are incapable, or won't, answered a fundamental question which is pertinent to the topic of the thread:
Where in the Constitution has Congress been granted a power to tax and spend for State public school systems? I find no such authorization beneath Article 1, Section 8, Clause 1, for which Congress is granted power to lay and collect taxes.
The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States, respectively, or to the people. Tenth amendment.
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The powers of the legislature are defined and limited; and that those limits may not be mistaken or forgotten, the constitution is written. To what purpose are powers limited, and to what purpose is that limitation committed to writing; if these limits may, at any time, be passed by those intended to be restrained? ______ MARBURY v. MADISON, 5 U.S. 137 (1803)