To find this mob in-game, use BACKSPACE to open the World Search window, then enter Beruda Lize in the Search field and click "Search". Remember, the field is case-sensitive and must be entered exactly as shown.
This rare mob, Beruda Lize, has a placeholder, Bear. The chance to spawn the rare mob is 1%. To get the rarer mob to spawn, kill the placeholder.
There can be 2 bear kings spawned at once. Usually one of them spawns right where the boars and bears start to intermingle (near that big hill between the two camps), the other is on the other side of the patch near the big hill where you see the wolves and bears intermingle.
I have also seen one at the other end of the valley from the first spawn point I mentioned. I can't remember if it's a rock or a tree grouping, but you can't miss it.