
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
At a team press conference, there are eight players from three teams to be seated: four from the Cubs, three from the Red Sox, and one coach. The Cubs insist on sitting together, the Red Sox also wish to sit together, and the coach needs to sit at one end of the row. How many ways can they be seated?

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