
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]


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In a regular octagon with side length 3, eight semicircles are inscribed such that their diameters coincide with the sides of the octagon. Calculate the area of the region inside the octagon but outside all of the semicircles.

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