This would be big even for a Kane Masterstroke. It would require a seriously big honking laser, in the right place, that is precise enough to actually hit.
Basically, lets assume that the target area is a square kilometer at 36,000 kilometers. That is not easy. That is very, very not easy. Just to hit, you have to be able to point the emitter within a fraction of a degree.
Ehhh, yes. On the other hand, to aim a telescope you need to be able to do the same thing, often to a greater degree of precision because in
relative terms the target is even smaller (that is to say, much larger but much
much much more distant).
...
There are, in fact, a lot of striking similarities between aiming a laser cannon and aiming a telescope.
The problem is taking a sufficiently large laser and either:
1) Making it a "trainable" weapon, that is to say something that can be swiveled around like a gun in a turret, or
2) Designing it to have a main beamline that actually produces the laser, and optics (e.g. mirrors) to direct that beam to an "optical head" that is much smaller than the overall 'laser gun' but itself trainable... and which is a perfect enough transmitter/reflector of the laser light that it doesn't absorb enough of the energies of the gigantic beam to get wrecked by the small fraction that
isn't transmitted or reflected.
It's certainly a tough engineering problem to make an anti-space laser weapon capable of targeting things in or near geosynchronous orbit. On the other hand, it's easier to make them capable of hitting things in
low orbit... and we have those to think of, too.
But yeah, we're definitely talking about things that by Nod standards would be a megaproject, something unveiled to much cackling and ranting. "WITH THE AID... OF MY SECRET WEAPON!"