Real Madrid, like the most successful and one of the richest clubs, looks in the eyes of other clubs/agents/football players, etc. looks like a cash cow that can pay overprice. Therefore, they are always forced to consider several options and even give up some of their goals so as not to overpay. If this transfer does not take place, then of course Real will find alternatives, but it seems to me that at the moment it is time to get out of the deal since the player will be too expensive even if Real finds a common language with Bayern.
Correct. We even have to remember how Real Madrid got a great player like Mbappe. Well Real Madrid did it with great patience. This club does not like to pursue deals that are considered too expensive or deals that are a bit pushy. This club is always good at looking for other options when they fail to get their top choice. And in the end this club will get what it wants at the right time, just like when it got Mbappe on a free transfer. And that is the extraordinary way Real Madrid has shown in hunting for players. And actually, many players are always interested in Real Madrid. So looking for other alternatives will always be easy for this club. And it's even possible that players who refuse to join Real Madrid will regret it in the end.

Real Madrid did not get Mbappe for free; his signing bonus is higher than the amount paid for 99.9% of player transfers. But the fact that Mbappe comes to Real at the right time is 100%, first of all, because Real showed that even without Mbappe they can take all the titles, but Mbappe cannot without Real. That is, this is an ideal situation when the player is maximally interested in proving himself, because if the results with Mbappe are worse (they probably cannot be better), then many will blame him for this.
There's no doubt to the fact that the sign-on fee of Kylian Mbappe is one of the most lucrative in the history of footballers transfer but it doesn't change the fact that he joined Real Madrid on a free transfer. Once a player leaves his club as a free agent and joins another it is recorded that the transfer is free irrespective of the amount that's agreed as he wages or any other offer in his contract. The signing of Kylian Mbappe as a free agent helps Real Madrid to balance their spendings and not break the Financial Fair Play rules after spending huge to land Jude Bellingham last summer.
As a Real Madrid fan, I'm extremely happy that the club was able to sign a player they've actually done so many things to bring to the club in the past years. I have no doubt that the Frenchman will succeed in the club by winning many trophies and individual accolades.
In fact, this was the fault of the PSG club, which at first was very selfish in wanting to continue retaining Kylian Mbappe, whereas in the previous season PSG had received a warning that in the transfer market last season there was no contract extension between Mbappe and PSG, this season PSG will lose Mbappe but PSG's biggest mistake was not treating him Mbappe did well but instead was punished by sitting on the bench and not being allowed to appear in several matches.
If only last season PSG had not been selfish in wanting to keep Mbappe, maybe this season PSG would not have suffered a big loss by losing a star player whose price was very high but had to leave for free.
Therefore, Real Madrid will really benefit and on the other hand, this is a form of revenge for Mbappe who was treated badly by PSG.
Now Real Madrid doesn't need to spend a lot of money to get Kylian Mbappe and Mbappe has also received the agreed salary.