
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 provided diagram, there are three identical circles arranged such that each circle touches the other two. The circumference of each circle is 48 units. Calculate the perimeter of the shaded region which is formed by the three larger arcs where each circle meets the other two. Each circular arc subtends an angle of $120^\circ$ at the center of its respective circle.

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