
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 Cartesian coordinate system $xOy$, with the origin as the pole and the positive x-axis as the polar axis, a polar coordinate system is established. The polar equation of circle C is $\rho=2\cos\theta$, and the parametric equation of line $l$ is 
$$
\begin{cases}
x = -4 + 4t \\
y = m - 2t
\end{cases}
$$
(where $t$ is a parameter).

(Ⅰ) If the line $l$ is tangent to the circle $C$, find the value of $m$;
(Ⅱ) If $m=-1$, find the minimum distance from points on circle $C$ to line $l$.

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