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yes Cap1 pull all 3 CB when you apply
I don't know anything about adding AU
I have never heard of a case of Cap One performing a HP on a AU account. It never happened to either myself or my wife when we added each other as AU's on our individual accounts.
No, there wont be any HPs when you add an AU
No HP on my credit report when my ex husband added me as an AU way back in the day.
AU is not applying for credit and has no liability to the account. Only the primary account holder gets the HP and the only one responsible for the entire debt put on that account (not card).