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Just realized I didn't even really look at the hand history much, only the logic behind your reasoning.
Hand history wise, you shouldn't be 3betting TT here against an unknown UTG raise. His range should be relatively strong, and not many worse hands will call. Your hand is perfectly profitable to call his open with. Plus given that your deep makes it even more worthwhile for you to call here as your implied odds are larger than if you were only 100bb deep.
So just call preflop. If he cbets the flop, you can call one street here hoping to see a relatively cheap showdown. If he checks the flop I'm checking behind on the flop as well.
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