The two general ways of doing this would be [A] projection and [B] scanning with a laser. Projector optics combined with a ring-mask (a "gobo") are a known thi

The two general ways of doing this would be [A] projection and [B] scanning with a laser. Projector optics combined with a ring-mask (a "gobo") are a known thing in stage lighting and/or theatere. Getting them that tiny will be a challenge however. If you are truly invested I'd suggest looking into how very small "pocket" projectors do this, maybe you could even salvage the optics out of a broken one.