
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 given setup, three identical circles touch each other, and each circle's diameter is 24. Calculate the perimeter of the shaded region formed by the segments that connect the centers of the circles to the points where the circles touch each other.

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