
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 a geometry problem, Isabella has drawn a pair of concentric circles. She starts drawing chords $\overline{CD}$, $\overline{DE}$, and so on, of the larger circle, each tangent to the smaller one. If $m\angle CDE=60^\circ$, how many chords will Isabella draw before she returns to her starting point at $C$?

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