Hand1. As there is a bit of disagreement concerning the best line here.

I think that TAG's range here is 33, 77 and suited aces ATs and lower (note that A7s and A3s just made 2 pairs and won't fold to a push).

I also think that he will fold all bad aces to a push, he could call a raise with them, but fold later in the hand. But the problem with the raise is that you will start to escalate the pot OOP, with reversed implied odds (unless you hit you stand to win a small pot or lose a big one). In such a situation a call is clearly a better play. You cotrol the pot size and play a medium sized pot against Axs and try to hit your draw and escalate the pot later against 2pairs and sets.