I feel bad for asking two questions in such a short time, but I'm apparently worried about all things trans related this week

I have to fill out paperwork for the PSAT tomorrow, and I'm 100% sure that I have to fill the test out with my legal name (please correct me if I'm wrong).
Has anyone taken the PSAT, SAT, or ACT before having their name changed, and then changed their name before college? I'm really worried that they won't change the name on the test after I get it changed, and that colleges will have access to my old name.
If you have any experience with this, help would be greatly appreciated.