[meadsjn]

go for the nose if it’s head on as is likely if it’s charging you

Judging from these pictures, that makes sense. It also looks like there is a layer of bone between the eyeball and the brain.

Grizzly Bear Skull

Black Bear Skull

Brown Bear Skull

[AnAmericanMother]

Looks like up the nose is the way to go. Direct pathway to the brain and relatively soft, porous bone behind.

Not that we're likely to encounter anything around here but a small, displaced black bear from NGA.