
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 equations of point $M$ are $\left\{\begin{array}{l}{x=\cos\theta}\\{y=2\sin\theta}\end{array}\right.$, where $(\theta$ is the parameter), and the line $l: \rho\sin(\theta+\frac{\pi}{4})=2\sqrt{2}$. Find:<br/>
$(1)$ The general equation of point $M$;<br/>
$(2)$ If $D$ is a moving point on $M$, find the range of distances from $D$ to line $l$.

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