
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 Cartesian coordinate system $xOy$, the curve $C$ has the parametric equations $$\begin{cases} x=3\cos\alpha \\ y=\sin\alpha \end{cases}$$ ($\alpha$ is the parameter). In the polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, the line $l$ has the polar equation $$\rho\sin(\theta- \frac {\pi}{4})= \sqrt {2}.$$  
(I) Find the standard equation of $C$ and the slope angle of $l$;  
(II) Let point $P(0,2)$, and $l$ intersects $C$ at points $A$ and $B$, find $|PA|+|PB|$.

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