
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 polar coordinate system, the polar coordinate equation of circle $C$ is: $ρ^2 = 4ρ(\cos θ + \sin θ) - 6$. Establish a rectangular coordinate system with the pole $O$ as the origin and the polar axis on the $x$-axis.

(I) Find the rectangular coordinate equation and parametric equation of circle $C$;

(II) In the rectangular coordinate system, point $P(x, y)$ is a moving point on circle $C$. Find the maximum value of $x + y$ and the rectangular coordinates of point $P$ at this time.

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