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If I decided just to call, I wouldn't be able to resist 3-betting when the action in this 7-way pot got back to me.

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Yeah, I don't completely hate the first flop call, but only if you make it intending to 3-bet if it comes back to you. Hey, CO might even cap it for you. It's extremely unlikely that you'll be able to make up the extra bets on the turn and river that you miss by just calling on the flop. The CO folding to your river is a good example of this.