[Closed] nl 100 Sh KK

That is really hard to answer, in the end this is a pure guessing game.

You need 77/(77+77+53)=37% EQ to make this call.

The opponent would need this range:
Board: Qs 9d 6d 3h
Dead:

equity win tie pots won pots tied
Hand 0: 62.689% 62.69% 00.00% 331 0.00 { 99, 66, AdQd, KdQd, KdJd, QdJd, JdTd, 8d7d }
Hand 1: 37.311% 37.31% 00.00% 197 0.00 { KcKh }

to make this a breakeven call.
This is a comparatively tight range.

So i think i'm just calling it off like you did, there are many opponents who could overplay some TP type of hand like this or flushdraws (maybe even some naked OESDs).

I think a call is the most +EV play in the long run.