
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
A regular hexagon has a side length of 8. Congruent arcs with a radius of 4 are drawn with the center at each of the vertices, creating circular sectors. Calculate the area of the region inside the hexagon but outside the sectors.
A) $48\sqrt{3} - 8\pi$
B) $96\sqrt{3} - 16\pi$
C) $192\sqrt{3} - 32\pi$
D) $72\sqrt{3} - 16\pi$
E) $96\sqrt{3} - 24\pi$

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