but such a large mirror might start acting like a solar sail.
Never mind that, you actually have to continually adjust the mirror's orientation to keep the solar reflection aimed at Chengdu anyway. If it's geostationary it will have a fixed position w.r.t. its target but the angle towards the sun will change with the time of night, and if he's putting the mirror in one of the appropriate Lagrange points the target will move relative to the mirror. Plus it will be more distant, hence appear smaller, and he'd need a way bigger mirror (so more materials and thus rocket launches) if he's to get anywhere near enough light on his city's streets.
A bunch of solar panels and a stonking big battery looks way more feasible.