
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 three identical circles touches the other two. The circumference of each circle is 24. Each subtended angle at the center of the circles for the shaded region is $90^\circ$. What is the perimeter of the shaded region?

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