Is it 3k effective?

1. Why? BB's range "should" be sets (9) and combodraws (2), right? Not the right odds to raise a war.

2. What do you mean with "play better"? Given the previous point I'd shove, otherwise you likely lose value on any T, diamond, maybe K or A.

1 - With the side pot, hero should only continue by raising. The bb shouldnt bluffcatch in this situation. When it calls it shouldnt have a balanced range. It has nutted hands only. So 2p+ and combo draws. Since it only has value we shouldnt ever bluffcatch, Since we never bluffcatch we only get into the pot when we think we are ahead(so sets), since we only get into the pot when we are ahead we only continue by raising. Weirdly enough, QQ makes a very good bluff tough, We are looking for bluffs that can win the pot against the ss if the bb fold. So we'd rather bluff with QQ instead of a draw that has more equity against the bb.

Now wheter we can trust the bb to understand all of this or not is another issue

it feels like you should raise since the bb has so many draws here… like the SD he prob just hit on the turn that gave you top set.. its a tough spot cuz sure he can do that cold call w sets, but theres wayyyy more draws out there then sets..