
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 equation of line $l$ is $x+y-8=0$, and the parametric equation of curve $C$ is $ \begin{cases}x=cos α \\\\ y= \sqrt {3}sin α\end{cases}(α{is\,the\,parameter})$.
(1) Given that the polar coordinate system has the same length unit as the rectangular coordinate system $(xOy)$, and takes the origin $O$ as the pole, and the positive semi-axis of the $x$-axis as the polar axis, if the polar coordinates of point $P$ are $(4 \sqrt {2}, \dfrac {π}{4})$, determine the positional relationship between point $P$ and curve $C$;
(2) Let point $Q$ be a moving point on curve $C$, find its minimum and maximum distances to line $l$.

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