The Champions League and La Liga are different competitions, so the fact that Mbappe received a red card in a La Liga game will not affect his participation in the Champions League.
This is not a necessary red card.
] and even this is his first red card at Real Madrid and his first red card after 6 years, the last one was in the Coupe de France match in 2019. Yes, and fortunately, Real Madrid had led 0-1 just before the red card happened.
This will be quite bad for Real Madrid's performance going forward with Mbappe's absence for several matches. But as you said, La Liga matches are different from UCL, so red cards in La Liga do not apply in UCL and Mbappe can still be in the UCL lineup when facing Arsenal later.
Source: Mbappé sees redMbappe only got one game of disqualification, essentially did not suffer from this red in any way, as he will be ready to go out for all important games. If it was a disciplinary violation, then the punishment would be from 3 to 5 games, but it was just in game violation. By the way, I didn’t see the game, but I saw screenshots where the Alaves players also walked with straight feet at the Real players, but the referee didn’t even give a foul. To be honest, I am increasingly inclined to believe that there is a conspiracy against Real in La Liga

I don't think there is a conspiracy against Real Madrid. Because the decisions were the right ones. On the contrary, there are many people who think that Real Madrid made the decision in their favor. Mbappé's absence will make it very difficult for Real Madrid in a difficult match. However, this mistake is Mbappé's. Because he tackled the Alaves player very harshly. He deserved a direct red card. Ancelotti should warn him about this. If Real Madrid hadn't scored, the match could have ended in a draw.
The referee's decision was not wrong at all, but it was deserved, of course, in this match, the Alaves player attacked hard, which is why
MbappeMbappé had to get a red card and leave. Moreover, in this match, both teams attacked a lot and whether the opposing team got a red card, both teams had two players missing, but the match ended in a draw for Real Madrid. However, since
MbappeMbappé will be missing for the next match at the moment, the games are likely to be more difficult and there is a possibility that Madrid will lose. In that case, I think Ancelotti should arrange another player to replace
MbappeMbappé, otherwise the next match may be even more difficult for them to collect points.