
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 $(xOy)$, establish a polar coordinate system with $O$ as the pole and the non-negative half of the $x$-axis as the polar axis, using the same unit of length. Given that the polar equation of the curve $C$ is $ρ=2 \sqrt {5}\sin θ$, and the parametric equations of the line $l$ are $ \begin{cases} x=3- \frac { \sqrt {2}}{2}t \\ y= \sqrt {5}+ \frac { \sqrt {2}}{2}t \end{cases}$ (where $t$ is the parameter),

(I) Write the Cartesian equation of curve $C$ and the standard equation of line $l$.

(II) If $P(3, \sqrt {5})$, and line $l$ intersects with curve $C$ at points $M$ and $N$, find the value of $|PM|+|PN|$.

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