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Many may disagree butI'm going to say I think this hand is fine. You raise the flop in order to hopefully get another AK, and other hands to fold. Protect your outs and do whatever you can to win a large pot.
Turn raise is fine, this is a huge pot, do what you can to win it. When CO 3-bets you I think his hand range is 99, AT, AA, maybe AK or AQ. Most of the time you are beat here but pot is so huge you have to call down. Overall, it may seem like you threw in extra bets here but don't forget, throwing extra bets in order to win a big pot is hardly a mistake compared to not putting in these bets and having it cost you the pot.

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all this seems logical to me