Maybe a moderator can move this to tournament hand analysis?
Preflop
The issue with making this casual call preflop is, your hand is totally dominated by the UTG range and even the UTG+1 calling range. UTG will have hands like AA, KK, QQ, JJ, AK, AQ, AJ, KQ, KJ, and UTG+1 will also have the same hands except maybe QQ+. But they will rarely if ever have QT, Q9, JT or J9. So even when you flop top pair, you are often going to be either outkicked or against an overpair. They will also both have small to medium pairs, that might flop a set, when you flop top pair. So in short your hand has poor
equity against their ranges, and it also suffer from, what is known as reverse implied odds being very likely to flop an expensive second best hand, that sucks you in.
Flop
You flopped trips, which is pretty much the best thing, you could hope for, and UTG+1 bets out, after UTG had checked. If this was a rainbow board, its very much a way ahead way behind situation. Either someone have AQ, KQ or 33, and then you are totally f..... Or they dont have any of these hands, and then they are drawing nearly dead. So in that situation I would just call to keep more of those hands in the pot, that are drawing nearly dead. And also to avoid, what happened, which is, that you got 3-bet by one of the few possible better hands.
If there was a flushdraw on board, I would be more inclined to raise, but then I would go for a bigger sizing. When you min-click it back, they are making very few if any mistakes, and you dont even get a lot of value from for instance a flushdraw, since they are getting great odds to call and try to draw out on you. This also boils back to preflop and the fact, they dont have QT or Q9. They either have a very weak hand, which will not play a big pot, a flushdraw if possible, or they have you beat.
Turn
One of the best card in the deck for you, since now you spilt the pot with AQ and KQ, and there is only 1 combo of 33 left, they can have. There is really no point in raising in position, as it just takes away their chance to
bluff the river. So I like your decision to just call.
River
Snap calling this jam. Most of the time you split the pot with the last Q, or they might even be
bluffing.
Results
Super cooler situation on the turn and river, and nothing you can do at this point. Everyone is going broke with QX on QQ336, when their opponent shows up with 33 or a very unlikely Q6. However the way, you played preflop and flop, is much more important than this tragic outcome. Classifying your hand correctly and knowing when to fold, call or raise, is key to success in poker, and so is correct betsizing.