I also think Mbappe won't be able to move to Madrid this season because it would be huge money for the club. Real Madrid won't pay that when next season they can buy Mbappe at a reasonable price. I think nothing serious will happen if Mbappe doesn't play for Real this season, although they will miss such a striker.
If Real Madrid doesn't really need a striker like Mbappe for next season, of course the solution is to wait for a reasonable price after Mbappe's contract period with PSG is over. But if Real Madrid still really needs a striker like Mbappe to have a surprise next season, at least Real Madrid should try to get Mbappe even though the price is slightly more expensive. Because next season Barcelona is predicted to still be very strong and Real Madrid must be able to compete to get back to being better in La Liga.
You have not been following what is happening in PSG camp, Mbape has just a season left with PSG but in other to continue he must extend his contract with PSG for another year to stay in the club or he should live right away; the problem is not that there are not buyers, there are plenty of them but the asking price is so high that it is out of their financial plans, only Real Madrid has such amount to spend and they are also looking on some options as well because I expect them to have learned from the mistake they learn from Hazard, there are still plenty of talented strikers in other clubs by the way, they fish out one just the same way PSG find put Mbape.