
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 $xOy$, the parametric equation of a line $l$ is 
$$\begin{cases}
x = 2t - 1 \\
y = 4 - 2t
\end{cases} \quad (t \in \mathbb{R}).$$
Considering the origin as the pole and the positive half-axis of $x$ as the polar axis, a polar coordinate system is established. If the polar equation of a circle $C$ is $\rho = 4\cos\theta$, find the distance from the center of circle $C$ to line $l$.

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