Preflop
I actually like your 3BB sizing, because you are 100BB+ deep against both players in the blinds. 2,5BB would also be ok, because you are relatively short against the other players, but you are definitely not making a mistake with your sizing.
Flop
Obvious value betting spot, but now I think, your sizing is way to big. These "pot" bets are something, we have seen in other of your hands as well, and this is really something, you need to stop doing. This is a fairly dry board, and on such a board you are supposed to bet with most of your range but to bet small. People call it "downbetting" or "range betting". And this is not just an opinion. This is, what solvers have told us to be the best strategy.
Now in the micros we dont need to always strictly follow GTO strategies, but there is no reason to think, that this massive bet sizing is a good exploit in a 2,2$ tournament on Stars. Its probably the "big" or something similar, and there are a lot of regs in these tournament. And when you use this sizing, you are pretty much forcing him to play well by only giving you action, when you are beat, or you have him coolered with a hand like KQ or QJ.
You want him to continue here with TT-JJ, 9X, 6X, draws or even pure floats, and the way to achieve that is to bet something like 40% pot. There are hardly any situations in poker, where "pot" is the best betsize, so I suggest, that you simply delete the "pot" button and preset some other sizes instead.
Turn
The second Q on the board makes it less likely, he has a hand like KQ or QJ, so this is actually not as great a card for you, as it might seem. But I would still be betting for value, and I would choose a small sizing like 25-40% pot, because I want him to continue with draws or with hands like TT-JJ, if he still have those after your massive flop bet.
River
Obviously we think, we probably have the best hand, but at the same time its not going to be easy to get paid. If he had the case Q, he would likely have bet the turn, so he either has a slowplayed boat, which of course we lose to, or he has a busted draw or a hand like TT-JJ, which is probably not going to call, if we bet to big.
So I would either put out a small bet like 40% pot or check to induce a bluff from busted draws, and I actually think, there can be merits to both lines. Instead you bet full pot again, which pretty much force him to always have a better hand, when he give you action, and this is exactly, what happened.
Conclusion
The hand is a cooler, and there is no way to avoid going broke. But the way, you played the hand, is terrible against his entire range, and you really need to work on your betsizing and thinking more about, what hands you are targeting, and what you want those hands to do. This "pot" betting is something, we saw on TV shows like Poker After Dark 15 years ago, because back then people did not know any better. Now however we do know better, so implement that knowledge in your game and stop sizing your bets, like its still 2004.
