
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
Seven regular octagons of side length $2$ are arranged similarly such that one octagon is at the center and the rest surround it. What is the area of $\triangle{DEF}$ formed by connecting the centers of three adjacent surrounding octagons?
A) $16 \sqrt{3}$
B) $24 \sqrt{3}$
C) $32 \sqrt{3}$
D) $48 \sqrt{3}$
E) $56 \sqrt{3}$

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