He will have an individual career as long as he can play collectively with the team and the more trophies he wins with Real Madrid, the easier it will be for Mbappe to achieve his best career. There are many other star players at Real Madrid so Mbappe is not the only one and he has to work harder if he wants to become one of the great players there. Vinicius and Belligham have made good achievements at Real Madrid and now is the opportunity for Mbappe to make his dream come true.
For La Liga, it might not be too difficult, but Mbappe will be quite tested when playing in the Champions League. If his presence does not make Real Madrid's strength more solid, it will be very dangerous for his career. He had to overcome the competition between his teammates and become one of the players who contributed greatly to Real Madrid.
At the end of the season in PSG and now at the Euro, Mbappe is playing poorly, maybe he has achieved his goal, signed a contract with Real Madrid and just wants to take a break from all this. Real Madrid will be a new team, to which he will need to adapt, a different coach, training regime, so it may not be easy at first, but he himself strived for this, so he will need to work to achieve everything in the new team. But I don’t think that Mbappe should have any problems with a place in the team, I think that in Real Madrid he is able to achieve everything he wanted.