
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=1-\frac{\sqrt{2}}{2}t \\ y=2+\frac{\sqrt{2}}{2}t \end{cases} (t\text{ is the parameter})$, and a circle $C$ has the polar equation: $ρ = 2\cos θ$. Find the minimum distance from a point on circle $C$ to line $l$.

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