Is your question which of H or P you should apply to REA? They have different campus cultures, so the first thing is whether one suits you more. But, all things being equal, to me P > H for math.
Be aware that from the pov of your school you are clearly a star, but from the pov of H/P/etc AdComs you are a typical applicant.That is a really hard concept for students who are used to being a standout to get their head around. In particular, the idea of going “only” to the state uni- which many of your peers with lower stats will do- can seem a bitter pill to swallow. Some students see getting the brand name of (say) Yale as a prize for having worked so hard during HS.
And yet, imo GaTech has a better math program than Yale / Penn / Dartmouth. In fact, there are a bunch of schools that are stronger for math (iirc, Penn State > UPenn for math) A lot of them are probably not affordable (UC-B, UCLA for example), but Stanford (at least as competitive) and Duke (slightly less competitive) have good FinAid, and really strong math programs.
Of course, if you are thinking that you need the brand name b/c what you really want is to go from IB (HS) to IB (career) in order to make lots & lots of money, and math is just your ticket to that world, that’s a different conversation!