Everyone in this thread, thank you so much!
I just applied and was instantly approved! I called to make sure that I was in fact receiving the 75,000 miles, (making sure to not actually state how many miles I THOUGHT I was going to receive), and it was confirmed that if I spend $1,500 in the time period, I would receive the miles. =D
Thank you Stoughton for putting up the number to call, and for the lovely individuals who put the links up. If it wasn't for you guys, I'd only have received 30,000 miles. This is infinitely better.
I already have an AAdvantage credit card, but it's Citi Bronze, and is a MasterCard. I'm so excited. So long as Citi doesn't decide to reject me in the next week, I'll get so many more AA miles this year.