SB vs BB - Raised paired board with flush

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SB vs BB - Raised paired board with flush

Blinds: $0.10/$0.25 (6 Players) BN: $66.56
SB: $25.00 (Hero)
BB: $25.35
UTG: $11.39
MP: $34.34
CO: $28.58
Preflop ($0.35) Hero is SB with 6 K
4 folds, Hero raises to $0.75, BB calls $0.50
Flop ($1.50) 7 Q 7
Hero bets $0.43, BB calls $0.43
I decided to cbet this hand but was doubting between check/call and cbet here. Given that people likely still overfold these spots I decided to cbet, do it often and smaller size. Likely that I need to check here way more OOP in theory but exploitative we want to bet. That's my opinion at least, feel free to comment on why I'm wrong.
Turn ($2.36) 7 Q 7 T
Hero bets $3.25, BB calls $3.25
This feels like a spot Peter Clarke would say is an overbet. BB raises a lot of his 7x hands, We have QQ, TT, AQ, AA, KK and now more 7x as well so we can apply a lot of pressure. And get away with a lot of bluffs because of this, bluffs that do have equity when called.
River ($8.86) 7 Q 7 T 4
Hero bets $6.35, BB raises to $20.92 and is all in, Hero calls $14.22 and is all in
So we actually get there. Now all I need to do is decide on a sizing. I decided for a size that I would want to bet with my thinner valuebets and even full houses that are blocking calling range. But it's likely I should have multiple sizing options here.

So we got raised, but do we call? Let's assume given the stakes that BB is not doing this as a bluff.
BB's value range:
77, 7Ts, 74s, Q7s, AJcc, A9cc, A8cc, A5cc, A3cc, A2cc are the value hands we don't beat for a total of 13 combo's.
QJcc, Q9cc, Q8c, J9cc, J8cc, 98cc for a total of 6 combo's we beat.

Now it is possible that BB doesn't raise all those flushdraws we do beat. And it is possible he considers A7 as a value jam. Hard to say readless. Let's look at some math instead. We have to be good 28.44%. So we do need him to bluff 6 combo's.

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