Apart from Alexis Mac Allister, Liverpool have also signed another midfielder, namely Dominik Szoboszlai. The former RB Leipzig midfielder was signed for a contract value of up to 70 million euros, so of course he will be a great addition for Liverpool next season. So it's not too bad to expect Liverpool to be one of the title contenders next season instead of Manchester City or Arsenal and Manchester United.
At this juncture, We cannot safely predict which team has a better chance of winning the Premier League title next season. Who would have expected Chelsea to finish in that position at the end of the season, as they did last season. They started brilliantly but finished poorly, owing to the club's choice to change managers.
Every team has an equal chance of winning the title next season, although there are always favourites in each competition who are likely to win the league. Manchester City, Manchester United, Liverpool, Chelsea, and Arsenal are the current favourites, although we may also include Tottenham Hotspur and Newcastle United based on their previous season's performance. Considering how the Premier League is so competitive, we can't ascertain anything for the time being.