
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 a setup with three concentric circles, the radius of the middle circle is three times the radius of the innermost circle, and the radius of the outermost circle is twice the radius of the middle circle. If the width between the innermost and the middle circle is 3 feet, calculate the area of the region between the middle and the outermost circle in square feet. Express your answer in terms of $\pi$.

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