Yeah, I think he will keep his pride aside immediately he is in Real Madrid, because he knows that the team can do without him, instead he is the one that needs the team to improve himself and win trophies, if possible set new records for himself. Ancelotti is a coach that every player respects and wants to make happy because he is a good and friendly coach, so his influence will humble Mbappe.
Sometimes, relationship matters alot. Maybe in PSG, he does not like some players and the coach, or he feels that he is bigger than them which is making him to fool himself, he will not try that in Madrid because there are young vibrant players in competition with him.
Let's hope it's like that. Because at Real Madrid, usually all the players always respect each other too. And selfishness should not be displayed too much there because it will only cause unrest and disrupt everything. And yes, Mbappe will definitely be able to restrain himself there too. because he should also be able to understand that this team had just won the Champions League trophy before he came. And of course this also indicates that this team was truly extraordinary even before he arrived. So Mbappe definitely doesn't want to make things complicated. And Mbappe definitely wants to be part of that glory. And he must be able to adapt there and achieve glory next season with Real Madrid.
Vinicius Jr and Jude Bellingham and the young players there are also not ordinary players. Each has its own advantages. So Mbappe must also realize that it is impossible for him to shine alone next season. but he must work well with everyone on the team.