Well you can be sure about that, but why does that make them more dominant? They're using the same dark magic now.
It is easier to get past one than two. The more mega-rich clubs you include, the far harder it will be to overcome them. Eventually, it will take its toll.
I know you mentioned Newcastle's potential takeover, but they haven't been taken over yet. Also, building them up to the standard of winning the PL would take years. (It took five seasons, I think, for City after the Mansour takeover. But they were also owned by the other rich guy from 2006.) Both PSG and City are already there.
Chelsea are rich, as well, but nowhere near the level of City and PSG. Plus they have stopped spending so much in recent years.
Presumably the other clubs will enforce the FFP much stricter than Uefa did.
But they won't be able to. Yes, they can be more strict over the club's wage payments, but they would have absolutely no say over a player getting massive advertising arrangements from other interests of their owners.