
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 regular hexagon with side length 2 is inscribed in a circle. Each vertex of the hexagon is connected to the midpoint of the opposite side to form new segments. Compute the total length of these segments.

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