
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
Given the function $f(x)=2\ln x$ and the line $l: 2x-y+6=0$, if point $P$ lies on the graph of function $f(x)$, then the minimum distance from point $P$ to line $l$ is _______ .

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