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If Kylian Mbappe ends up joining Real Madrid, then on paper Barcelona will be far behind their rivals.
The depth of Barcelona's squad would not be better if management did not spend a lot of money to buy several players. Barcelona may have to rely on several more young players such as Lamine Yamal, Gavi, Pedri, Cubarsi and Balde next season, so it is clear that the depth of their squad is very inversely proportional to what Real Madrid has.
Barcelona needs more experienced and proven players if they want to win the title, but they can still win the title if their new coach can motivate his players to work harder like Leverkusen in the Bundesliga. Any team can win the title as long as the players have the desire and try to perform optimally in every match throughout the season, that could happen for Barcelona next season.
On the one hand, recruiting Mbappe will make Madrid much stronger next season, but on the other hand, Mbappe could be like Hazard, who failed to shine while strengthening Madrid, although we don't want that to happen. It's true, Barcelona will be far behind if Madrid adds more depth to their squad containing the best players, with stable financial strength, that's quite easy for them to do. Hansi Flick will be faced with a very difficult situation, because his movement in the transfer window will be limited due to the financial crisis, there are not many options available other than utilizing existing players.
On the other hand, to recruit experienced players, Barcelona must be willing to let go of several of their young players, so that they can get a budget that they can use to smooth out transfer plans. The only other options available are to borrow or look for free transfer players, as Xavi did previously. Talking about Barcelona luck next season, I think that can only happen if Madrid experiences a decline in performance, and Barcelona itself avoided injury. Hansi Flick will sooner or later complain like Xavi if club officials demand too much.