
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 polar coordinate system, the maximum distance from a point on the circle $\rho=8\sin \theta$ to the line $\theta= \frac{\pi}{3}$ is given by the expression $|d|$, where $d$ is the distance from the origin to the line. Find the value of $|d|$.

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