
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 side length 2, and squares $ABDE$, $BCHI$, and $CAFG$ constructed externally. Inside each square, a circle is drawn with the square's diagonal as the diameter. What is the total area of all three circles?
A) $2\pi$
B) $4\pi$
C) $6\pi$
D) $8\pi$

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