
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 the diagram, each of the three identical circles touches the other two. The circumference of each circle is 48. The centers of these circles form an equilateral triangle. Calculate the perimeter of the shaded region formed between the three circles. (Assume each circle contributes an arc making a $120^\circ$ angle at its center to the perimeter of the shaded region).

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