I would definitely get your wisdom teeth taken out now. Yes; you could wait and have the air force do it, but it doesn't cost that much. Plus; you could be laid up a little while after having it done. You don't want to have issues during BCT or even your first semester if by chance you have issues and really need them pulled out. Now is a great time to do it. DON'T WAIT until May/June. Sometimes there's complications. "Dry sockets, infection, etc...". Do it now.
As far as updating medical or sending information, you don't have to if there are no complications. My son had his done a few months before BCT. We called the ALO, admissions, counselors, and DODMRB. They have no expectation that individuals are going to stop going to the dentist or doctor visits simply because they have an appointment. You still have day to day activities. Basically; if it's routine and there's no complications, there is nothing for you to report to anyone. Remember; there is nothing special about a wisdom tooth compared to any other tooth in your mouth. I had all 4 of mine removed with local novocain. Just have it done. If you're still "NORMAL" and didn't go into a coma, shock, etc... (Just kidding); then there's nothing to tell the academy about or to update. And FWIW: The academy loves when you get your wisdom teeth taken out PRIOR to coming in. That's one less issue they have to deal with or PAY FOR!!!!
On a side note for those reading this: NEVER... Let me repeat, NEVER... EVER.... Get Lasik surgery done PRIOR to going to the academy. It will be an automatic (In most cases), DISQUALIFICATION to the academy. If you need that type of surgery, the academy will pay and allow you to have PRK surgery. It's different, but when you consider flying, g-forces, etc... Lasik is a no-no. Anyway; just wanted to throw that in there. But wisdom teeth. Have at it. Get them out. Nothing to report if there are no complications.