[gnicholas]

Hm, that's not my reading of the case, in particular this sentence from page 2 (the Syllabus):

> Held: Harvard’s and UNC’s admissions programs violate the Equal Protection Clause of the Fourteenth Amendment.

The concurrence by Gorsuch also makes clear that the majority opinion was based on the Constitution, not Title VI.

> Today, the Court holds that the Equal Protection Clause of the Fourteenth Amendment does not tolerate this practice. I write to emphasize that Title VI of the Civil Rights Act of 1964 does not either.

What are you seeing that indicates that the majority opinion was based on Title VI?