Luck in football is just a small thing and it is not a reference even though sometimes we see it is real. Man City failed to qualify for the next round because several players failed to execute penalties so they had to accept defeat. Dortmund played quite neatly and solidly when facing PSG so it is natural that they managed to beat PSG both away and at home.
Although statistically the game was more dominated by PSG, Dortmund managed to take advantage of small opportunities to score goals. PSG must build a more solid and strong squad next season so that they can find opportunities to win the title. Luis Enrique must be able to make the players more solid and able to work well with each other.
The penalty shootout is a round and the chances are 50/50 and luck in my opinion is one of the important factors, apart from mentality. Real Madrid successfully won on penalties, from what I saw they had prepared for this, and we also need to know that they were very effective when attacking in normal time so Manchester City couldn't beat them.
Paris Saint Germain was just unlucky in my opinion, because if I look at the opportunities they had when facing Borussia Dortmund in the second leg, they had a lot of opportunities, but those opportunities could only touch the crossbar. In my opinion, luck is on Borussia Dortmund's side in this match.
Although Mbappé's move is already a fact, I saw that he was at Madrid and that now they have everything for him to be able to integrate into the team's ranks and although it doesn't seem to me that he's a suitable player for Madrid because I hope his ego is controlled and doesn't go too far, I think these things are good so that the strategies start to change, if it will be a great signing for an Ancelotti who likes to win games in a very close way, sometimes cardiac because the games we've seen sometimes wow as a fan almost make your heart beat out, then I think that with Mbappé if it goes well, then things will be different, of course, at PSG Luis Enrique has to make big adjustments and look for high level players, famous people and whatever, but I know that they want to maintain their status quo.
If Mbappe cannot control himself and cannot lower his ego, then it will be very dangerous for him. Keep in mind, his current team is Real Madrid, not Paris Saint Germain and Real Madrid is a strict team so he can't do whatever he wants, unlike when he was still in the Les Parisiens uniform.
At Paris Saint Germain he had that privilege, but at Real Madrid he did not have that privilege. I'm sure if his attitude is unpleasant and he can't change it, then Real Madrid will not hesitate to throw him away, even if he is a "star" player who has very good abilities.
He must be able to adapt and lower the ego that he has often shown, all for the sake of his future.