
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
Regular hexagon $ABCDEF$ has side length $2$, and equilateral triangles are constructed externally on each side of the hexagon. Calculate the area of the newly formed twelve-sided polygon which includes the hexagon and the six equilateral triangles.
A) $18\sqrt{3}$
B) $12\sqrt{3}$
C) $24\sqrt{3}$
D) $6\sqrt{3}$

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