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Where does the Amazon Prime Rewards (Chase) pull from and what scores do you typically see with approvals?
Chase can pull any of the 3 CRAs, and in a variety of cases a combination of 2 of them. However, based on your other thread, if your FICO scores are below 650 and there's a history of recent missed payments, I would hold off until scores/profile improves.
The following link can provide some guidance: