
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  $good~word$  as a sequence of letters that consists only of the letters  $A,$   $B,$  and  $C$   $-$  some of these letters may not appear in the sequence  $-$  and in which  $A$  is never immediately followed by  $B,$   $B$  is never immediately followed by  $C,$  and  $C$  is never immediately followed by  $A.$  How many seven-letter good words are there?

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