
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 equation of curve C is $$\rho=4(\cos\theta+\sin\theta)- \frac {6}{\rho}$$, with the pole O as the origin and the positive half-axis of the x-axis as the polar axis, a Cartesian coordinate system is established.
(1) Find the parametric equation of curve C;
(2) In the Cartesian coordinate system, point M(x, y) is a moving point on curve C, find the maximum value of x+y, and the Cartesian coordinates of point M at this time.

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