
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
Gari took a 6-item multiple choice test with 3 choices per item, labeled \( A \), \( B \), and \( C \). He remembered that he never answered three consecutive \( A \)'s, he never answered three consecutive \( B \)'s, and he did not leave any item blank. How many possible sets of answers could Gari have had?

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