Also in the landing page link that immediately follows the "be careful" statement (not the link I used):
"BONUS MILES:
American Airlines AAdvantageŽ miles will appear as a bonus in your AAdvantageŽ account
8-10 weeks after you have met the purchase requirements."
It seems Citi got tired of us getting card after card, pocketing the miles, and canceling before the fee was due. They stuck a "poison pill" in the T/C to prevent that.