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I understand that currect Amex members gets only a soft pull if denied, and hard pull if approved, but do Amex "soft pull" your CR at the moment of the app or do they based their decision on a past soft pull that it is in their database? And will it still be a soft pull denied if you do not used the shorter app for card members (and are signed out)?
Being signed out does not make a difference. With your ssn they will identify you are a current cardmember