
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]


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In Moscow, a tennis tournament is being held. Each team consists of 3 players. Each team plays against every other team, and each player of one team plays exactly one game against each player of the other team. Due to time constraints, a maximum of 200 games can be played in the tournament. How many teams can participate in the tournament so that all games are played?

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