10/20: 77 turns set in unraised multi-way pot

[Big_Jim]

Since you say he is TAG, his 3-betting range is pretty narrow on the turn: Specifically, he probably needs Aces up or better.

AA/KK/33: These would coincide with the PF action (33 would depend on the table). Is he really not leading the flop with a set on an A high board, though?
AK: Seems possible.
A7, A3: Not if he's really TAG.
Ax: Seems possible... but the 3-bet on the turn makes these very unlikely.
A bluff: Given the action, I think this would be a decent spot to try one, on the turn, but he probably gives up on river.

His river bet sure looks a lot like a value bet.

If you push the river, the only hand he calls you with that you're ahead of is probably AK, and he may fold that.

If you think there's a chance that he gets to this point with worse than AK (a weird AQ?) , then you can push and make him think you're trying to move him off a chop, but this looks like a call, to me.