
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 polar coordinate system is established with $O$ as the pole and the positive semi-axis of $x$ as the polar axis. Given that the polar coordinate equation of circle $C$ is $\rho^{2}-4 \sqrt {2}\rho\cos (θ- \frac {π}{4})+6=0$.
(1) Convert the polar coordinate equation to a standard form equation and write out its parametric equation with appropriate parameters;
(2) If point $P(x,y)$ is on circle $C$, find the maximum and minimum values of $x+y$.

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