Jackson's dissent can be read here:
https://www.supremecourt.gov/opinions/22pdf/20-1199_hgdj.pdf
It starts on page 211 and is a mishmash of non sequiturs, irrelevancies, and assorted drivel. Most of it boils down to a historical fallacy and the related Baconian fallacy. That is, she recounts various historical anecdotes and then assumes them to be 100% valid and correct. The worst part is that she uses buzzwords, invoking "Jim Crow laws" at one point, as an example, while showing through what she's trying to discuss that she knows nothing about Jim Crow laws and their history.
Yeah, her dissent is right there. It is far from a "mishmash of non sequiturs..., etc. Rather, it is sharpest reasoned and written opinion of them all, and the opinion Thomas obviously felt most threatened by in his concurring majority opinion. It begins:
"Students for Fair Admissions (SFFA)
has maintained, both subtly and overtly, that it is unfair for
a college’s admissions process to consider race as one factor
in a holistic review of its applicants. See, e.g., Tr. of Oral
Arg. 19.
This contention blinks both history and reality in ways
too numerous to count. But the response is simple: Our
country has never been colorblind. Given the lengthy his-
tory of state-sponsored race-based preferences in America,
to say that anyone is now victimized if a college considers
whether that legacy of discrimination has unequally ad-
vantaged its applicants fails to acknowledge the well-
documented “intergenerational transmission of inequality”
that still plagues our citizenry.1
It is that inequality that admissions programs such as
UNC’s help to address, to the benefit of us all. Because the
majority’s judgment stunts that progress without any basis
in law, history, logic, or justice, I dissent."
She then dismembers the opinions from the majority piece by piece. Read it, then point out for us the "non sequiturs, irrelevancies, and assorted drivel." And don't forget the Baconian fallacy