
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
Squares \( A B K L, B C M N, C A O P \) are drawn externally on the sides of a triangle \( A B C \). The line segments \( K L, M N, O P \), when extended, form a triangle \( A^{\prime} B^{\prime} C^{\prime} \). Find the area of \( A^{\prime} B^{\prime} C^{\prime} \) if \( A B C \) is an equilateral triangle of side length 2.

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