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I wouldnt worry about AA unless you are opening up 12+ cards in a short amount of time or maxing out your cards.
I would also say chances are very low. Now if you've opened multiple accounts and you suddenly carry a high balance on your barclay card then you're likely to be chased but to be honest 2k limit how far could they really chase you down? You'll be fine just keep all cards low reporting balance you've nothing to worry about.