
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
Calculate the area of a shaded region formed in a regular octagon where each side measures 8 cm. The shaded region is formed by connecting the midpoints of consecutive sides of the octagon, thus forming an inner octagon. Express your answer in square centimeters using the simplest radical form.

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