So I know the biggest pots are not always the best ones to direct your focus on when studying. But it's just hard not to... sooo =>

First off I think my first mistake is to not 5bet myself against BB's cold 4bet given we hold KK and not AA. I think I'd prefer some calls with QQ and AA regarding strong hands but KK is probably a pretty bad choice? But as played...

I think I messed up badly shoving IP for 330BB deep. Meanwhile I'm rather convinced this has to be a call. A call would leave the flop pot at 200ish bb with 245bb left.

May main post reasoning here is that low stakes tight regulars have 0 bluffs in this spot? My attempt to draw his range would then be AA, KK maybe all AK (best case) and half of his QQ. Thus with a shove we will most likely fold out his QQ and maybe even all of his AKs leaving us in a horrible spot.

If he could have some bluffs like A5s I'm not even sure if it's still just a call given he gets worse pot odds than he draws to with these hands (he needs 36% equity here).

It would be nice to get some confirmation on these thoughts but I'm mainly interested in: Would this change if we are the OOP player 330BB deep with KK? Or is this still just a call this deep?

Also I know this strongly depends on the situation (e.g. UTG vs HJ is different than BTN vs SB) - but is there a common thumb rule threshold until when KK just tries to get it in? 200BB? 250BB?