Given the large original raise, I don't necessarily mind the 3-bet size. You're setting up an SPR of just over 2 on the flop which is definitely comfortable to GII basically always.
I would have made it more like $65-$75 pre, but not a big deal.
As played pre, I mean you're not loving it, but you basically have the top of your range here (One could argue A
K
is similarly good?). So stick it in and hope they don't have a set.
You could fold hands like QQ/JJ here since villains could have AA/KK