delek

this type ABB + dangler holding doesn't really push much equity even against the widest of ranges (55% vs a random hand) and being oop it will suffer from playability issues so i would prefer a call pre.
as for the flop, i assigned villain a range of 2Pair+, Pair+hh, Ahh, and some straight draws. we get 40% eq vs that, enough to stack off.

ppt

just x/folding that flop. it hits villains range more than ours and should be peeling very often. we dont have many good turns either and will be forced to give up.

http://www.propokertools.com/simulations/show?b=7h8d4h&g=oh&h1=35%25%214%25&h2=kskdtstc&s=generic

As played x/c seems fine, it'd be really bad to get raised off our hand as we might be folding a ton of equity.
Tbh i am not sure about cbetting that flop, sure we get a lot of folds on that board after 3bing but with our specific holding we are mostly folding low equity hands in villains range such as unpaired stuff or overpairs to the 9 and getting called by everything that does well against us (A*, straight draws+), we have very poor visibility and have to go into x/c mode on most turns , capping our range and putting villain in a position to easily outplay us so I'd prefer x/calling the flop.

We can bet pot otf, sure its maybe debatable from a range perspective but when against a 67/37 lp guy that doesnt matter much and we can focus on taking the best line now.
Ott don't think the 3 improves his range much, most of the low card type of hands like pair + gutter and up should shove flop and we hold 3 blockers to straights. We also have 20%+ eq to bail us out when behind so we can just pot and be done with the hand.

Given that we still have around 15% eq coming from our 3 clean outs + bdnfd vs his jj part of his range and the 3rd player sweetening the pot i think we need to gii here