CGA does not require them pulled before Swab Summer. If they need to be pulled later on, the CGA dentists will do it.
With that said, I recommend that if you can get them pulled before Swab Summer, do it. That way, they are out of the way and you can recover comfortably at home. It would be much more comfortable especially if there are any complications like dry socket.
As far as flight school, I have no idea. Perhaps someone else can chime in with that one.