
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 parametric equation of line $l$ is $\begin{cases} x= \frac { \sqrt {2}}{2}t \\ y=3+ \frac { \sqrt {2}}{2}t \end{cases}$ (where $t$ is the parameter). In the polar coordinate system with O as the pole and the positive x-axis as the polar axis, the polar equation of curve $C$ is $\rho=4\sin\theta-2\cos\theta$.  
(I) Find the standard equation of line $l$ and the Cartesian coordinate equation of curve $C$:  
(II) If the intersection of line $l$ with the y-axis is point $P$, and the intersections of line $l$ with curve $C$ are points $A$ and $B$, find the value of $|PA||PB|$.

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