
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 of side length $2$ is surrounded by six identical regular hexagons each with side length $2$. Identify and calculate the area of the triangle formed by connecting midpoints of three adjacent outer hexagons.
A) $\frac{3\sqrt{3}}{2}$
B) $6\sqrt{3}$
C) $\sqrt{3}$
D) $3\sqrt{2}$
E) $2\sqrt{3}$

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