KTs

Without reads we wont assume UTG is open limping with complete crap here, so lets look at the kinds of hands that would limp and narrow it down.

All PPs. KQ, KJ, QJ, QT, TJ, Ax, SCs non-broadway are probably the bulk of his PF range. Of those, which do we see c/c'ing our flop overbet? KJ and KQ would likely either bet or c/r here. QJ and TJ would flat call. Ax might flat call thinking they have a good kicker if you're bluffing. I'd say PPs 66+ could call also. PPs love to call these paired flops, but generally the really low ones will still fold. If he's come along with really crap cards on the flop he might have a K with no kicker here sometimes too.

So of his range we'd believe we're ahead of everything except an unlikely KQ, or a slowplayed KK,JJ. We have reason to believe we're ahead of his range, so our plan should be to bet for value now.


AA

You have AA, you dont need to read his hand!

Ok, seriously (although not far off), UTG has raised PF and called your 3-bet. Very unlikely to have a 5 or 6 except for some slim chance he's overplayed 55 or 66. Fairly unlikely though. So his range is mostly PPs > 66 (probably TT+ since he raised pre, but some people raise almost all PPs). Something like an AK or AQ that doesnt want to admit its beaten is also possible. This means we're almost certain we're ahead, so I dont get the turn push. We want value here. If you think you might be beaten, theres not a chance in hell he's folding here with a boat, so all you've done is cost yourself value from something like QQ or AK. Our only decision is whether we believe he'll call a turn bet and river push, or if he's more likely to fold to a turn bet but call a river bet.