
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
In isosceles triangle $ABC$, where $AB = AC$, is inscribed a circle with center $O$. The side $BC$ is $2\sqrt{3}$ times the radius of the inscribed circle and the area of the circle is $9\pi$ square centimeters. Calculate the area of triangle $ABC$.

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