I don't think that will happen, because some time ago we also know that Mbappe received a contract extension for one season (until 2025) but with another agreement where he must be sold next season. It's probably a logical move on PSG's part because ultimately they won't be able to keep Mbappe forever at the moment.
What Mbappe wants now is not just money but more than league trophies and individual achievements. Although now he has got that but I don't think it's enough if he only succeeds with Ligue 1 because in the end there are bigger leagues like the Champions League and other much bigger domestic competitions like La Liga or the EPL that he might still be able to navigate as proof that he is one of the players to be reckoned with in the future.
Kylian Mbappe is regarded as one of the current person players of modern day football as well as the player that football fans globally are expecting to take center stage immediately Cristiano Ronaldo and Lionel Messi calls it a day from football. So it's absolutely understandable as Paris Saint Germaine do not want the France national team captain to leave Parc des Princes anytime soon.
That being said Mbappe looks like a player who's not ready to continue his career with the French champions beyond this season as it's already been reported that he's reached agreement to join Real Madrid next summer.
The problem is that such things also cannot be forced, especially with the drama caused by Mbappe at the beginning of this season, it should be a signal that sooner or later he will definitely leave PSG.
Mbappe is a young player who has great potential so it is very natural that he wants something more that PSG cannot give even though today PSG is able to keep him but with the conditions of the commotion that happened before I am not sure that next season they will still be able to hold Mbappe because however, by looking at the situation that happened, things like this will not be able to be overcome by PSG and inevitably they have to let him go, therefore instead of releasing for free it would be better to screen as many offers as possible at a high price to be able to release Mbappe so that they don't lose too much.