TL;DR: How can I prep a round piece of 12mm plywood 30cm in diameter, so that I can apply wall paint to it and it will look as close to a wall as possible?
Why: I'm making a light fixture. The idea is to get an indirect light by taking a ~20cm diameter 20mm thick central post and put LED strips on the outer edge so that they shine along the wall. Then, I would place the aforementioned 30cm diameter plywood (with chamfered edges) on top of it to achieve a sort-of glowing effect around the fixture.
To achieve a sleek and most invisible effect (in particular when the light is off), I would like it to have as much of a wall-like look as possible. How can I do that with plywood? (Or would another material make a better job? The natural material for wall-like look is drywall/plasterboard, but I don't think I would ever get a precise enough cut to get a neat look, and also fixing that to anything is somewhat trickier.)