"King of the Hill"

It will be interesting to have the highest score compared to other players and watch them gain points, while you can't do anything because of the randomness....

Added after 6 minutes

but when the chance to play arises, there will be a much greater incentive to play to the fullest in order to stay in the game.

What to strive for? When a separate group of players has a certain lead in points (due to randomness), having an even greater chance again due to randomness, the incentive to play against them can be abandoned after 3-4 months of the tournament.