
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 rectangular coordinate system $xOy$, the parametric equation of line $l$ is $\begin{cases}x=3-t \\ y=1+t\end{cases}$ $(t$ is the parameter.$)$. In the polar coordinate system with the origin as the pole and the positive semi-axis of $x$ as the polar axis, the curve $C$ is defined as $ρ=2\sqrt{2}\cos(θ-\frac{π}{4})$.
(I) Find the general equation of line $l$ and the rectangular coordinate equation of curve $C$;
(II) Find the maximum distance from the points on curve $C$ to line $l$.

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