
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
Given that there are 4 A's, 4 B's, and 4 C's, determine the number of 12-letter arrangements with no A's in the first 4 letters, no B's in the next 4 letters, and no C's in the last 4 letters.

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