I don't understand what you are trying to prove. All clubs played under equal conditions (yes, imperfect but the equal) and Real Madrid set a great achievement that no one else could - they won the Champions League three times in a row. All talk about individual episodes or even about a whole "conspiracy" is, as they say, "talking in favor of the poor".
I just don't like it when the "the hand of god" scores a goal in
football and people say "same chances for everyone, they could have scored a goal with their hands as well". That is not how I understand competition on the highest level. For me that is competing with each other while being subject to the same rules and abiding to those rules in the same way while being judged by a referee in the same way. That is why a league of 38 games is also different than a competition like a World Cup or the Champions League. Luck (or the lack thereof) usually evens out throughout a season. Privilege (like in the case of Real Madrid) does not. Your argument makes the case that everyone has equal chance in having their breaking the rules behavior go undetected and therefore whoever wins deserves the win, since the other team could also have scored offside goals, circumvent red cards by injuring an opponent's player "the smart way" or scoring a goal with the hand such that the referee doesn't blow the whistle.
This still neglects that Real Madrid has more influence on the game and the people behind it than any other club, but still. You say "whoever breaks the rules without getting caught is doing ok because the others could have done the same". I am not that kind of guy and that is why I am a big fan of the VAR and any other measure to reduce shenanigans. Nobody wants to watch an Atletico Madrid game when they have the lead in minute 25 because everyone knows that the game afterwards has nothing to do with soccer as cramps start even in the first half then.
Oh you

I did not think that you would seriously talk about conspiracy theories and "Perez bought everything."
As for mistakes in different directions at a distance, then what, three Champions Leagues in a row that Real won is a short distance for you? This is 39 games (more than the number of games in the Premier League) and Real Madrid were the strongest in the results of these games. Is it because Perez bought everything or just because Real Madrid were stronger?

Neither nor. You are mentioning 39 games, but you are neglecting the fact that Real Madrid's journey would have ended in the quarter finals for example in one year with a halfway decent referee. There is a huge difference between getting lucky in the round of 16 due to wrong referee decisions and then be able to play till the end compared to getting knocked out right away. Of course they had the chance to play the next round, but that chance wasn't based on them being the superior or more efficient team.
That is why I am saying that the domestic league title is the most honest title a team can win. It is not perfectly honest, but more honest than any one or two leg knockout tournament. With the VAR in place today, Real Madrid would probably not have achieved what they did achieve without the VAR. Since the VAR makes the game more precise, variance would decrease and the scope for lucky probabilities for Real Madrid would have been smaller.
The variance of mistaken decisions can have insane impact on the history of a sport. It can give a team a record that will almost never be broken, or it could end the streak in the following year immediately. In this case dozens of decisions helped Real Madrid to win those three titles in a row. Congrats
