I think flatting TT is good with slightly deeper stacks (~32bb effective), but I prefer a 3bet here. You benefit a lot from folding out hands like KJ/QJ and you’ll have good equity against most players’ GII range. Most importantly, I really don’t want to see the flop multi-way. We are going to see overcards very often and be in a lot of difficult spots. Flatting is a lot better against a typical UTG/UTG+1 range, but even then you’re probably giving up too much EV by flatting with <28bb.

I slightly prefer a 3bet of 11-12k over a shove, but either play will be very profitable (as ginger said, shove more if you think MP flats often).

I think TT wants to shove this flop, unless you have an extremely strong read that MP is a nit. We do want to be cautious in multi-way pots, but BB is so short that MP can call fairly wide even with you behind. Villain will occasionally be trapping but I don’t think we want to give them too much credit. I see a lot of players get lost in the ‘sandwich’ position and call the BB shove with marginal hands and no plan for reacting to your shoves. I’m assuming flop was rainbow but if there’s a flush draw you can widen both ranges and TT is miles ahead.

Giving both players relatively strong ranges (AQs w/ backdoor flush is MP’s weakest hand, and I’ve got him folding 55-77) on 844 rainbow:

TT has 37.18% equity 

MP has 40.51%

BB has 22.31%

At first glance, it looks like you’ll bust or get crippled ~60% of the time, but you’ll often win a large sidepot even if BB beats you. You have way too much equity to consider folding. MP will probably have at least some folds vs. your shove, and both players might be wider than what I used, so your play has some additional expected value. Adding 55-77 to each player’s range, your equity shoots up to 44.71%.

Very interesting point Ginger makes about which hands we choose to review. I’ve mostly removed my bias but, despite countless hours of study, I’m still usually more motivated when reviewing a hand that I lost.