This hand kept me awake which is why I'm posting this, I would love to know what might be the GTO solution to this turn spot.

Hero: 1346 euro
Villain: 1150 euro

3-6 euro blinds

I raise to 12, he makes it 51, I call with 8h8c.

Flop 2h 4s 4d (pot 102)

He bets 80, I call.

Turn 4c (pot 262)

He bets 350 (has 675 behind), I ...

His 3 bet is 22%.

I ended up making the 'wrong' decision (lost a big pot) which is why this hand weighed so hard on me and I was doubting if my move was good. I'm curious about GTO play here. Is this is a spot where I should call or fold my whole range? Or should I have a shoving range? Is this generally a spot where I should shove for protection? Or should I call with the eights..

I have no GTO computing software so I'm counting on some smarter minds in this community to help me out. Should this be a shove or call? I mean I think a fold is too weak and exploitable, right.

Thanks very much for the replies!