It is clear that Ancelotti will find a player on the bench who can replace the injured one, but does Real have a player of Carvajal's level on their bench? This is a rhetorical question, there is no such player, but they will just have to learn to play without him because he is out due to injury for a whole year. El Clasico is always a special game, and this confrontation is always unpredictable, every season due to different circumstances one of the teams can be stronger and despite Real's losses, I am ready to say that Barcelona can beat Real.
I am very confident that Carlo Ancelotti will be able to find a solution, perhaps even changing strategy and formations
After all, you may have noticde how he is a strategist on the football pitch and Real Madrid have in fact won a lot with him while spending relatively little, just see past years
The sad thing for Real Madrid and for their coach is about their academy. Since Carvajal got injured Real Madrid couldn't find a younger player in the academy to fill his place in the team and I saw today even on the radio Marca they were talking about it. Carvajal is definitely a good player but Real Madrid should be able to find replacements for him in the academy instead of buying a new player.
In Barcelona, they hired many players from the academy but it seems the academy in Real Madrid is much weaker than it should be.