I would go ahead and shove as the BB is dead money of $7.

My guess is the BTN has a set and our draw is prob about 48% or so, once we include the BB dead money of $7 I think shoving is the right play.

BB most likely have an overpair given their mini 3bet pre flop and flop play.

I'm not a maths guy but hopefully others can chime in to give you more info but I'd be calling here.

With so much money in the pot and with so much equity I can't see you getting away from this hand.

Yeah I'd just get the money in as well. I would expect button to be calling a significant amount as well but that's fine as it gets more money in the pot but doesn't change your equity to the same degree. Your equity is great even against tight ranges of overpairs and sets. It gets slightly worse if villain will play stuff like AKcc AQcc KQcc this way but I would expect many opponents to just bet that on the flop and it's a small amount of combos as well so it should be rare.

Yeah I'd probably stick the money in now the pot is so big. The min raises are going to generally mean an overpair from BB and a set from BTN. But all our outs are going to be at least live vs those so I just go for it.

All that dead money in the pot makes it an easy enough stack off.

BTN is quite likely to have a set but our equity is plenty enough with the size of the pot already. With BB's wacky raise sizes I wouldn't even be surprised to see a few top pair hands in his range.