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I'd think you should be able to qualify for an Amex again, assuming your credit is good enough otherwise.
It's hard to say without knowing your credit profile and situation, but I can say I (and many others) got approved for a Zync with only a 1 year average age of accounts and thin overall credit profile. No clue what my scores were at the time, but I've heard people with negative payment history, lates, chargeoffs, etc get approved for it as well. It really is a very good card, and one I plan to keep in my wallet for its flexible spending ability even though it is no longer my main card.
It's always smart to wait to apply, though.
I got approved for a Gold with a total of 8 months credit history, 7 months AAoA, and 2 inquiries. So, you can get a charge card with a very thin credit profile.
Right - despite your scores, unless you've got some negative enteries on your reports that are recent I'd imagine you could get a charge card right away given the credit limits on your current cards.
Yes, you will be able to qualify again. They are tough in that they will (upon qualifying you again), they will soft pull often to "track" and see how you are reponding/treating your other cc providers . Should you desire "their card brand" be CERTAIN that all other trades you have are and remain current. AMEX is the ELITE. THEY only wnat THE BEST in the credit class, (speaking Gold and above). The Status is worth the efforts.