
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 diagram, a larger circle has a radius of $8$. Two smaller circles are inside the larger circle, both touching it and each other at the center of the larger circle. A third smaller circle is placed inside the larger circle, touching both the other two smaller circles and the larger circle. What is the area of the shaded region?

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