Yes, Manchester City feels a little more burdened by the several competitions they are still participating in. Starting from April, it will enter a busy period, Pep Guardiola is of course very dizzy with such a situation, he has to rack his brain to choose players and set targets for competitions which are the top priority. In the EPL, of course, their second meeting with Arsenal is the final or decisive match, if City succeeds in pounced. Arsenal, then the opportunity to win the title is increasingly open, but if you lose, then Guardiola will have to give up on Arsenal and switch his focus to the Champions League because of Man's big target. City is winning the most prestigious title in Europe's.
Without injury problems, I think it's okay even though there are still several competitions that Manchester City is participating in.
Players, coaches and everyone else are used to lots of matches in every season even though the fatigue factor sometimes affects a team's performance. Pep can outsmart his players in some easy matches by rotating some of them.
The main priority this season is the Champions League, the Premier League is the second priority, while the FA Cup is the third priority. I think everything is important and it will be even better if they can claim all the titles that are still available this season.