
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
A circle with a radius of 6 inches has a section cut out, forming a $240^\circ$ sector. This sector is then shaped into a right circular cone by gluing points A and B together. Determine the circumference of the base of the resulting cone. Express your answer in terms of $\pi$.

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