Pure speculations below.
To solve the geometry problem, you need to know the inputs, i.e. position of the sun, mirror, and the target. Obvious way is calibrating in advance but that’s not reliable enough, due to wind and thermal expansion acting on the target (it’s elevated) and seismic activity acting on the ground. Another thing, need accurate orientation sensors in the mirror and/or motors capable of precise absolute positioning. All these technical challenges are solvable, but they reduce reliability, reduce focus precision especially over time, add non-trivial costs to the installation.
Instead, apparently they have 4 fixed mounted cameras around the target, looking downwards at the center of the mirror array. The sky doesn’t have distinct features unless clouds, but the sky has these color gradients, vertical one from horizon to zenith, also radial one around the sun. Just seeing these 4 colors might be sufficient to correctly orient the mirror.