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.