
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 coordinate origin is the pole, and the positive direction of the $x$-axis is the polar axis. Establish a polar coordinate system. The polar equation of the curve $C$ is $({{\rho }^{2}}-4\sqrt{2}\cos ({\theta -\dfrac{{\pi }}{4}})+6=0)$.
(I) Find the parametric equation of $C$;
(II) If point $P(_x,_y)$ is on curve $C$, find the maximum and minimum values of $_x+_y$.

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