
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, if the equation of line $l$ is $\rho\sin(\theta + \frac{\pi}{6}) = 1$, and the coordinates of point $P$ are $(2, \pi)$, then the distance $d$ from point $P$ to line $l$ is \_\_\_\_\_\_.

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