(Canadian Intermediate Mathematics Contest 2022, Part A, Question 5, CEMC - UWaterloo)

Magnus and Viswanathan play a game against each other three times:

• In each game, each player’s score is a positive integer. The players’ scores at the end of the three games are six different integers.
• In each game, the winner’s score is at least $25$ points. If the winner’s score is $25$, their opponent’s score must be at most $23$. If the winner’s score is greater than $25$, their opponent’s score must be exactly $2$ less than the winner’s score.
• Viswanathan wins either the first game or the second game, but not both.
• Viswanathan wins the third game with a score of $25$.
• Each player’s score in the second game is the average of their scores in the first and third games.

What was Magnus’s score in the third game?