Bullseye Lantern: does pointing one away from you, keep you in darkness?

Suppose my character is in darkness. I light up a bullseye lantern:

A bullseye lantern casts bright light in a 60-foot cone and dim light for an additional 60 feet

If I point the bullseye lantern away from me, is my character illuminated in any way? Am I included in the cone of light, or am I outside of the cone, like when casting the Cone of Cold spell?

If I remain in darkness when using a Bullseye Lantern, then I can remain invisible to those without dark vision, while illuminating my enemies.