
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
Define a $\textit{strong word}$ as a sequence of letters that consists only of the letters $A$, $B$, and $C$, where:
- $A$ is never immediately followed by $B$ or $C$,
- $B$ is never immediately followed by $A$ or $C$,
- $C$ is never immediately followed by $A$ or $B$.
How many eight-letter $\textit{strong words}$ are there?

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