The example hand looks fine played with the 88. I would personal bet a little bit bigger on the flop to protect the hand against draws with a bet of approximately 55% pot. As played I would newer fold on turn when he’s raising, because the only set you beat is 99 and he can easily raise 2 pairs or a lower set. Draws I would newer raise on the turn. That makes not to much sense. That I would do on flop most of the time.
If I check this from the perspective of the 33 player I would fold the flop with only a small pocket pair on a wet board like this. He has only 2 outs to improve his hand and isn’t a great board to float on. On the turn he’s hit his set and I would stack off as well. It’s still possible you play some over pairs like this on a draw heavy board, because I wouldn’t fold AA if I was in your shoes. I think for him was folding on flop best and on turn it’s a cooler.
In a other situation I almost newer fold a set for 100bb effective or I’m pretty sure I’m dealing with a better set on the flop, but that happened not to often and it also depends of board structure if I play the hand aggressive or slow on flop and further.
I guess this question was not specific for tournaments. So I let the thread here for now.
Hopefully this helps a little bit and if you have more questions don’t hesitate to ask them.
Best regards,
SDK1987