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First, is this an SNG or MTT?
Second, I don't think calling the minbet is correct. You're putting ~12% of your stack in a small/medium pocket pair and you're going to see a flop with it. What if the flop comes almost anything without a 7? If the flop comes something like KT4, and your opponent leads the flop, if you don't have a good read then you fold.
The problem is that because the Ms are so small, you don't have the implied odds to make calling with the 7s a +EV decision I think.
Something else to take into consideration is that preflop there are five people to act after you. What happens if they reraise? If you fold, then you've pissed away a nice chunk of your stack. If you call any amount, you're left with like half your stack or less to play with after the flop, which sucks. If you push all-in, you have basically no fold equity, and you're behind to the range of hands someone would reraise with after a minraise and a caller.
It's cool that you hit your set and got all your money in on that board on the turn, but just remember it's a 1-to-7.5 shot to hit your set on the flop, so what happens the other 6.5 times? You lose chips and money.
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