Breather Cap Smoke

2 probably unrelated issues

Have the air filter off and the hose to the breather cap. Noticing a fair amount of smoke coming out of the cap.

smoke from the breather would be blow-by, leaky rings, broken ring, scored cylinder walls

Carb is Shot and running rich pending a replacement.
carb running rich would / should not induce additional blow-by except for increasing damage as noted in earlier posts.