Can Warmbloods be registered as Thoroughbreds?

You know how the AQHA accepts Appendix QHs because they are 1/2 QH? Will the Jockey Club accept (and race/tattoo) a Warmblood because it is 1/2 TB? Because I just rescued what I was told was a "12yo Warmblood" from a killpen, but it turns out she has a tattoo! It's hard to read (we have also found out she is 19yo, which would be why), but a "2052" are very clear. The first and last digits are worn off, but you can tell it's a letter first, and a number last. We THINK the letter is a 'U', which matches her age with the JC. The weird thing is, I can't find ANY horse that matches her description, of ANY age, that has a "2052" in their tattoo, at all on the Jockey Club site. We've already researched enough to know she is definitely not a QH or Standardbred. But she does NOT look TB AT ALL! She looks all Warmblood! Everyone we tell that she is a TB, they laugh...it would be laughable to see her on the track actually. She is a BIG girl (built big, and a bit overweight coming from the kill pen, which doesn't seem like typical TB behavior! Also not spooky, nervous or flighty in any way)! We were joking that maybe there was a determined draft horse out there, and the breeders thought their TB mare was bred to their fancy TB stud, lol, idk!