
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, the parametric equation of curve \(C_{1}\) is:
\[
\begin{cases}
x = -4 + 2\cos \phi \\
y = 3 + 2\sin \phi
\end{cases}
\]
(where \(\phi\) is the parameter, \(0 \leqslant \phi < 2\pi\)), and with the origin of the Cartesian coordinate system as the pole and the positive \(x\)-axis as the polar axis, the polar equation of curve \(C_{2}\) is:
\[
\rho = \frac{4}{\cos \theta - \sin \theta }
\]
(where \(0 \leqslant \theta < 2\pi\)).

(I) Find the Cartesian equations of curves \(C_{1}\) and \(C_{2}\), and describe what kind of curves they are.
(II) If \(P\) is any point on curve \(C_{1}\) and \(Q\) is any point on curve \(C_{2}\), find the coordinates of point \(P\) when \(|PQ|\) is at its minimum value.

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