^^^The real time factor is assembling the documentation. If one has it and it is current, getting it processed can be “quick” which is what I meant by suggesting it may not be too late. (It’s close to too late for this year but “maybe” not entirely too late.) But of course if one has already applied to a school and been rejected by admissions, it may be too late to unwind the decision for that school.
At some point in the application process, you ride the horse you have chosen to ride. Along the way you may have to adjust and triage. (Suggested reading is @KaMaMom’s epic adventures from last? year. One of the best examples ever of doing it brilliantly and with humor.) I’d suggest for the OP that maybe at this stage of the game, it’s better to focus on what is still out there as possible vs. what isn’t. One needs to be careful about being stuck in the weeds of trying to unwind a challenge - in this case passing a TSU pre-screen but not getting admitted academically to the college. One could spend a ton of time trying to unwind the academic admission and still not pass the ultimate artistic threshold as that hurdle would still loom large. I’d suggest moving on, “making a list and checking it twice” (see what I did there?) and keep going. And last year’s warriors wrote many a funny story involving wine and donuts to handle the insanity. There is that too. 