
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 that in the rectangular coordinate system $(xOy)$, the parametric equations of line $l$ are $ \begin{cases} x=t-2 \\ y= \sqrt {3}t \end{cases}(t \text{ is the parameter}) $, and the polar coordinate system is established with the coordinate origin as the pole and the positive semi-axis of $x$ as the polar axis. The polar equation of curve $C$ is $ρ^{2}-4ρ\cos θ+3=0$. If point $P$ is a moving point on curve $C$, then the range of the distance from point $P$ to line $l$ is _____.

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