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Couple things here :
An ace gives you a pair of aces, not aces up.
I would three bet the flop, you have a huge draw and great equity three way. This changes how the turn plays, but I would three bet the turn. EP probably has a good ten and I don't think he'll muck.

Bet the river, it is pretty unlikely anyone has a six and you will get many a crying call.

Other than that I would play it like you :P

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For some reason I just focused on the turn. I agree with your thoughts on the other streets.