
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 equations of line $l$ are given by $\begin{cases}x=2+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t\end{cases}$ where $t$ is the parameter. With the origin $O$ as the pole and the positive half of the $x$-axis as the polar axis, the polar equation of circle $C$ is given by $ρ=4 \sqrt {2}\cos (θ+ \frac {π}{4})$.
(I) Convert the polar equation of circle $C$ into Cartesian coordinates;
(II) If line $l$ intersects circle $C$ at points $A$ and $B$, and point $P$ has coordinates $(2,0)$, find the value of $\frac {1}{|PA|}+ \frac {1}{|PB|}$.

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