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Not unusual for AmEx to take a while to first report a new account. Some have experienced a couple of months, IIRC. Not al llinks below are directly relevant but see also prior discussions:
I am in no hurry for mine to report, all my 5-6 point dings from new Inq's and TL's, received it very end of last month, closes on the 22nd of this month.
I hope they take 2-3 months to report, but with my luck they will report this month.
That's wired. They usually report to the credit agencies within 7 days. I opened mine last year, and they reported right away.