No Winner

After a series of matches between Alice, Bob, and Cameron, their scores are $A$, $B$, and $C$, respectively. Chef plans to organise $M$ additional matches. In each match, **two** players compete, and there is exactly one winner. The winner of the match receives one point. Determine if it is possible for **at least** two players to end up with the same score after all $M$ additional matches ha