
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 that the polar coordinate equation of curve $C\_1$ is $ρ\cos θ-ρ\sin θ+2=0$, and the parametric equation of curve $C\_2$ is $ \begin{cases} x=\cos α \ y=2\sin α \end{cases}(α$ is the parameter$), the horizontal coordinates of all points on curve $C\_2$ are tripled and the vertical coordinates are multiplied by $\frac{3}{2}$ to obtain curve $C\_3$.
(1) Write the parametric equation of curve $C\_1$ and the ordinary equation of curve $C\_3$;
(2) Given point $P(0,2)$, curve $C\_1$ intersects with curve $C\_3$ at points $A$ and $B$, find $|PA|+|PB|$.

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