
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 the origin of the rectangular coordinate system is the pole, the positive semi-axis of the $x$-axis is the polar axis, and the same length unit is taken in both coordinate systems. The parameter equation of line $l$ is $\begin{cases} & x=t+1 \\ & y=t-3 \end{cases} (t\text{ is a parameter})$, and the polar coordinate equation of circle $C$ is $ρ=4\cos θ$. Determine the distance from the center of circle $C$ to line $l$.

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