He has TTT66, you have 666KK.
A full house tens full of sixes (TTT66) beats sixes full of kings (666KK) in all variants of poker, not just PLO. This is because the tens are higher than the sixes, in this case.
Interesting, tough hand. I think I would fold here. I'll assume there isn't any relevant history with the opponent as that may change your strategy here.
I think everything is pretty straightforward up until the flop where you are faced with the check-raise. I think a call here is good, but I'm uneasy about it as it doesn't lead to the rest of the hand ...
I think you played fine. Villain had nothing and you got him to pay off 0.46 on the river.
Certainly a hand to call with from the blinds.
No reason to bet the flop out of position on a draw.
I would have checked the turn hoping to get the villain to bet. You don't want to announce you made the flush.
On the river you put out a proper sized value bet. ...
I would lead the turn here because I would do so with plenty of other hands as well after the flop went check/check. You should also be mixing in some donk leads on the flop as well. Basically if you are going to flat OOP against what is probably a decent player (given the description) you need to be more active in taking away pots and especially in getting ...