
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
Consider a regular octagon where each side has a length of 8 cm. What is the area, in square centimeters, of the shaded region formed by connecting the midpoints of alternating sides? Express your answer in simplest radical form.

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