
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
Given a Cartesian coordinate system $xOy$ with its origin as the pole and the non-negative semi-axis of $x$ as the polar axis, a polar coordinate system is established with the same unit length. Known point $N$ has polar coordinates $( \sqrt {2}, \frac {π}{4})$, $M$ is any point on curve $C_{1}$: $ρ=1$, and point $G$ satisfies $\overrightarrow{OG}= \overrightarrow{OM}+ \overrightarrow{ON}$. The trajectory of point $G$ is curve $C_{2}$.
(1) Find the rectangular coordinate equation of curve $C_{2}$;
(2) If the parametric equation of line $l$ passing through point $P(2,0)$ is $\begin{cases} x=2- \frac {1}{2}t \\y= \frac { \sqrt {3}}{2}t\end{cases}(t$ as the parameter $)$, and line $l$ intersects curve $C_{2}$ at points $A$ and $B$, find the value of $\frac {1}{|PA|}+ \frac {1}{|PB|}$.

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