Same problem existed in the spacious walk out basement: very little built in ceiling light. Using existing light in ceiling 4 extra LED puck lights were added with in the boxed in coffer. Dimmer added to control the brightness.
Small track light above fireplace was the only lighting from the ceiling. Even with full sunlight on the patio door the room was always dark.
3-D rendering to give client and trades a clear idea of what to do.