
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 the plane rectangular coordinate system $(xOy)$, with $O$ as the pole and the positive semi-axis of $x$ as the polar axis, establish a polar coordinate system. The polar coordinate equation of the curve $C_{1}$ is $\rho = 4\cos \theta$, and the line $l$: $\begin{cases} x = 1 - \frac{2\sqrt{5}}{5}t \\ y = 1 + \frac{\sqrt{5}}{5}t \end{cases}$ ($t$ is a parameter)

(I) Find the rectangular coordinate equation of the curve $C_{1}$ and the general equation of the line $l$;

(II) If the parametric equation of the curve $C_{2}$ is $\begin{cases} x = 2\cos \alpha \\ y = \sin \alpha \end{cases}$ ($\alpha$ is a parameter), $P$ is a point on the curve $C_{1}$ with a polar angle of $\frac{\pi}{4}$, and $Q$ is a moving point on the curve $C_{2}$, find the maximum value of the distance from the midpoint $M$ of $PQ$ to the line $l$.

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