Although Real Madrid have strengthened their squad with new strikers, they will be looking to win any trophy. Not just the championship will be their focus from this season, although they have Mbappe in their squad, they have lifted the trophy without Mbappe in the past. So in the new season they will compete with any team anywhere and win, and in the La Liga season they will play the biggest role, and try to take over as the best team of this season. Although the future of football matches should not be so sure, the results change. may be
Last season, Real Madrid won two big titles, La Liga and Champions League without a good striker. Joselu did not perform well and score many goals for them but they luckily had Jude Bellingham. This season, after having Mbappe as a free agent, Real Madrid will have a player who has good capability to score many goals for them. Mbappe is not a traditional striker but he can play at that position better than Joselu and he can flexibly change his position and role on field easily too.
Mbappe will provide many things for Real Madrid's attacking system and make them stronger, at least in attacking. The concern is how Ancelotti can balance his squad between attack and defense ability because I really don't expect Mbappe to contribute too much for defense.
Although last season Real Madrid did not have a reliable striker, but other players could be relied on so that it covered the shortcomings they had. As you mentioned, Jude Bellingham, he could be very reliable when Real Madrid was in a deadlock, other players could also contribute greatly. Joselu did not shine so much filling Real Madrid's front line, but several times he could also be the difference for Real Madrid at the end of the match. This is what is then called teamwork, even though they have shortcomings, they can complement each other so that their shortcomings are not a big problem. This season they will have a more reliable striker seen from his individual abilities and skills, especially since he is still young so that is a breath of fresh air for Real Madrid. They are believed to be more difficult to stop in this Champions League.