
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 $2$ and is surrounded closely by six identical circles, each with a radius of $1$, where each circle touches two other circles. If $\triangle{ABC}$ is formed by connecting the centers of three adjacent circles, what is the area of $\triangle{ABC}$?
A) $1\sqrt{3}$
B) $2\sqrt{3}$
C) $3\sqrt{3}$
D) $4\sqrt{3}$

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