
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
In a regular hexagon with a side length of 8 cm, a smaller hexagon is constructed by joining the midpoints of each side of the larger hexagon. Calculate the area of the region outside the smaller hexagon but inside the larger one.

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