
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 the parametric equation of line $l$ as $\begin{cases}x=t \ "\sqrt{2}\ \ +\ \sqrt{3}t\end{cases} $, where $(t)$ is the parameter, if the origin $O$ of the rectangular coordinate system $xOy$ is taken as the pole, the direction of $Ox$ as the polar axis, and the same unit length is chosen to establish the polar coordinate system, the polar equation of the curve $C$ is obtained as $ρ=2\cos (θ- \dfrac {π}{4})$.

(1) Find the slope angle of line $l$ and the rectangular coordinate equation of curve $C$;

(2) If line $l$ intersects curve $C$ at points $A$ and $B$, and point $P(0, \dfrac { \sqrt {2}}{2})$, find $|PA|+|PB|$.

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