
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
Equilateral triangle $\triangle ABC$ has a side length of 2, and regular hexagons $ABDE$, $BCHI$, $CAFG$ are constructed externally on each side of the triangle. Determine the area of the larger hexagon formed by $DEFGHI$.
A) $24\sqrt{3}$
B) $36\sqrt{3}$
C) $48\sqrt{3}$
D) $72\sqrt{3}$

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