Just x/f the flop. You should def be x/f all the 54s combos, but if your gonna bet them at least go with the ones w/ the BDFD. AP, turn is spew, very clear x/f w/ zero equity and plenty of other hands to continue with.

The flop is good for your range but relatively speaking hits IP decently well so I don't know what the half pot accomplishes. I would bet 1/3 here as you block some of his potential folds (small pairs) and he will fold some 87 some of the time at these stakes.

As played the turn is one of the worst cards for you range vs range, so you should not be doing a lot of betting here . You're at the bottom of your range so there's an arguement to fire here but I don't think villains at these stakes are defending vs 3bets at a reasonable frequency so his range skews more towards broadways.

It's very likely the bet is not +ev and the best play here will be to c/f this hand unless you have some information that this player overfolds to 2 barrels in 3bp's.

+1 on everything that has been said.
i want to add that you should be careful, if you add all suited connectors from 54s onwards to your 3b bluff range you can get quite fast unbalanced towards overbluffing.
not saying that it is always bad, might be a good exploit.
but vs this low button RFI easy pitch pre for me

I would not 3bet this light againts someone who opens 34% on the BTN. 34% is very low for a BTN steal.

And as played I would not invest any more money postflop.

If your going to CB flop it should be for smaller sizing, in most cases the oop 3 bettor should have a serious equity/EV advantage. I also think folding preflop is one of the bets options. 34% RFI like samu mentioned is key.

In general betting turn in situations like this, you need to follow thru on river. Not that I like the turn bet, but betting river should hold a higher exception then checking.

fold pre

Thanks all!

Lots of good comments in this thread! I would like to see what people think of a flat pre if we think the BB is on the passive side. We have so many other hands that can 3bet and balancing our flatting range with stronger hands does allow us to see flops with weaker hands and hit these flushes or straights. I do not like it at all if we think BB is reasonably aggressive since we're just folding out our equity preflop when they squeeze. But with a flat, I'd rather have the extra bet in the pot and have our equity be more or less the same.

Villain is reg (2.6k hands): opens BTN 34 and folds to resteal 58

I like a 3bet here if the stat is reliable and I'd 3bet all the hands I VPIP. Something like 22+, ATo+, KJo+, A2s+, K8s+, Q9s+, 86s+ and 54s+ should be a fine 3bet range vs someone folding 55%+ to a 3bet on the BTN.

P.S. Make sure it's not CO vs BTN and SB vs BB 3bet he mostly folds way too much.

As for postflop I don't mind the flop bet because the flop is really good for your range and most micro players fold too much to a small flop bet, but as mentioned above the turn is a very clear XF. It can be used as a river bluff if turn goes XX though to try to get villain off Ax.