Be aware: Unilke personal cards (which you can stack up and not cancel), you cannot apply for another AA business card until and unless you fully cancel the current one. By fully cancel, I mean cancel both the card account and the master account. (When you log in to manage your business card account, you'll notice they show two accounts, each with a different last 4 digits. The one that matches your card is your card account, the other one is your master account.)

So unelss you have a reason to keep the business card (say, for its category bonuses) and are not planning to apply for another one, you might want to cancel that one at least.