
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
A regular octagon is inscribed in a square so that the vertices of the octagon trisect the sides of the square. The perimeter of the square is 96 centimeters. What is the number of square centimeters in the area of the octagon?

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