No one is underestimating City, and they need to fight for their survival in UCL for us to confirm that they are worth to qualify for the round of 16. Same applies to EPL, despite being the defending champions does not mean that if they don't improve their performance, they will be able to finish on top four. City have only won two weak teams and no one knows if they have improved or not.
Pep will continue to move to make improvements to the Manchester City team as time goes by because he himself is also very frustrated when the team he coaches gets bad results. So I also think that Pep will try to stay in the Champions League and also try to get a position in the top four zone in the EPL this season, although some other teams in the EPL will also try to take one of the positions in that zone. But for now Manchester City are not too far away from being able to achieve that although they have to fight harder.
City started to return to winning ways even though their performance is still very doubtful, especially since their previous opponents were not considered strong teams. But at least winning in several cross-competition matches can make their motivation return to its original state, even though some players are still injured. I am sure Pep will do everything he can to get his team back to its real performance, especially in the Champions League, their position is in an unsafe zone. In the 7th session, their opponent is Paris Saint-Germain, not an easy match considering their performance plus PSG certainly wants to win at home. It seems that this match is a crucial match for PSG and Man City, both teams need a win to determine the next match. Well, before the PSG vs City match is held, let's just follow their performance in the Domestic League, especially Manchester City's performance in their two matches.