
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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?

Present the answer in LaTex format: \boxed{Your answer}
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