I spoke with a lawyer about this and looks like it won't work at all. From what I understand Google doesn't have any obligation to serve his app on the play store. Unless you can prove that they are a monopoly, but to do that it's very hard and you need a lot of investigation.
The point here is not that you will win if they defend it. The point here is that you will win if they don't, and at the very least cost them significant non-reclaimable money if they do.
I spoke with a lawyer about this and looks like it won't work at all. From what I understand Google doesn't have any obligation to serve his app on the play store. Unless you can prove that they are a monopoly, but to do that it's very hard and you need a lot of investigation.