For the championship competition, this season Manchester City and Liverpool are still very dominant compared to the others, don't underestimate teams like Chelsea and Arsenal, because they both have talented players, Manchester United has not changed much, because it is still difficult got star players, so my prediction they will finish outside the big four.
I don't think much about Manchester United's chances because Liverpool and Manchester City are still quite reliable as candidates for the 2022/2023 season. Manchester United are still struggling to get good players even though Martinez is their newest signing, but of course there is never enough to be able to compete in the top flight.
Agree or not then I think Manchester City are the best to stay ahead in their title chances. Their probabilities have increased because of Haaland, but either way no one can guarantee that they can clinch the title by scoring 100 points or more at the end of the season.