Getting raised on turn with top set

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Getting raised on turn with top set

Blinds: $0.25/$0.50 (6 Players) BB: $60.00
UTG: $58.34 (Hero)
MP: $58.34
CO: $33.20
BN: $60.00
SB: $56.60
MP is LAG reg.
Preflop ($0.75) Hero is UTG with K K
Hero raises to $1.50, MP calls $1.50, 3 folds, BB calls $1.00
Flop ($4.75) K T 6
BB checks, Hero bets $1.57, MP calls $1.57, BB folds
Checking top set is also fine, but MP is somewhat stationy and we have a bit of history, so I go ahead and bet. Also, the pot is multiway, and I want to thin the field a bit.
Turn ($7.89) K T 6 8
Hero bets $5.69, MP raises to $17.07, Hero calls $11.38
River ($42.03) K T 6 8 A
Hero checks, MP bets $38.20 and is all in, Hero calls $38.20 and is all in

On the turn, I could just call, and call most rivers. Or I can jam over the top. Which one to choose?

I've started recently with GTO+ and already learnt a few nice things.

The "GTO" play is mainly just to call KK on the turn with KK containing a diamond, and 3-bet with KK without a diamond. And it calls on the river mainly.

However, Villain showed QsJc here. If I node lock Villain to raise turn with some of his open-enders (half of them), and call or fold the rest; GTO+ prefers to 3-bet with about 80% of my range on the turn, and fold the rest.

(Details of sim. I assumed heads-up on the flop. Target dEV on flop: 1.5%. 40% pot c-bet on the flop and 75% pot bet on all future streets.)

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