
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
Establish a Cartesian coordinate system with the pole as the origin and the positive half of the x-axis as the polar axis. The polar equation of the line $l$ is given as $\rho\sin(\theta - \frac{\pi}{3}) = 6$, and the parametric equation of the circle $C$ is $\begin{cases} x = 10\cos\theta \\ y = 10\sin\theta \end{cases}$. The chord length cut off by the line $l$ from the circle is __________.

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