
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
In a sports conference, there are 12 athletes representing four teams that are to be seated for a panel discussion. The teams are represented as follows: four are from the Lakers, three are from the Bulls, two are from the Heat, and three are from the Celtics. If athletes from the same team insist on sitting together, how many ways can the 12 athletes be seated in a row?

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