
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
An octagon is regular, with each side measuring 3 units. Eight semicircles are drawn inside the octagon such that each diameter coincides with each side of the octagon. Calculate the area of the region inside the octagon but outside of all the semicircles.

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