
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 equation of line $l$ is $x - y + 4 = 0$, and the parametric equation of curve $C$ is $\begin{cases} x = \sqrt{3} \cos \alpha \\ y = \sin \alpha \end{cases}$.
(I) Given that in the polar coordinate system (with the same unit length as the Cartesian coordinate system $xOy$, and with the origin $O$ as the pole and the positive $x$-axis as the polar axis), the polar coordinates of point $P$ are $\left(4, \frac{\pi}{2}\right)$, determine the relationship between point $P$ and line $l$.
(II) Let point $Q$ be a moving point on curve $C$, find the minimum distance from $Q$ to line $l$.

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