Preflop looks OK to me but you could raise bigger seeing as how there are already 3 people in the pot, 3x+1 would be $1.50. I don't like betting so big on the flop because I think you can scare away a lot of hands that might otherwise call. I mean, we got our flop and we want to get all-in but we don't have to do it all at once.
Folding here is reasonable like Pelion said because you are deep with MP who seems happy with his hand and we only have one pair that is unlikely to improve. I think it's also fine to just go with it though. I say that because I've seen SB do the flop shove in a huge pot with a weak ace. But that was on Bovada aka 'the fish tank'. If MP was not in the hand I'd always call SB. I think MP is at least as likely to have a draw as a set after this action. So I like going with it.
TBH my thought process here would be "10nl, huge 3bet pot, tptk, all the way" and if it's a set that's a cooler.
edit: IDK maybe that's really stupid. I would definitely be tilted if I lost 3 bi on a single hand. Another possibility, because you are deep with MP, is to not 3bet AK. Play it as the ultimate connector (even tho it's not a great connector) and pot control any one pair hands from the get go. Against better players I think that's the way to go when super deep. At 10nl though I think you have to go with it. Going with tptk is consistent with the 3bet anyhow, and even though you could definitely get coolered, you're never doing that bad here. But take a break if you lose this hand regardless.
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