
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
The polar coordinate equation of curve $C$ is $ρ=2\sin θ$. Find the shortest distance from a point on curve $C$ to line $l$: $\begin{cases} x= \sqrt {3}t+ \sqrt {3} \\ y=-3t+2\end{cases}$ ($t$ is a parameter).

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