
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 parametric equation of line $l$ is $\begin{cases} x=t \\ y=4-t \end{cases}$ (where $t$ is the parameter). In the polar coordinate system with $O$ as the pole and the non-negative half-axis of $x$ as the polar axis, the polar equation of curve $C$ is $\rho=2$.
$(1)$ Find the general equation of line $l$ and the Cartesian coordinate equation of curve $C$;
$(2)$ If point $Q$ is a moving point on curve $C$, find the maximum distance from point $Q$ to line $l$.

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