
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 equations of curve $C\_1$ as $ \begin{cases} x=2\cos θ \\\\ y=2+2\sin θ\end{cases} (θ \text{ is the parameter})$, and the polar coordinate equation of curve $C\_2$ as $ρ=-4\cos θ$ with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis in a Cartesian coordinate system.

(1) Find the rectangular coordinates of the intersection points of curves $C\_1$ and $C\_2$.
(2) Points $A$ and $B$ are located on curves $C\_1$ and $C\_2$ respectively. When the distance $|AB|$ is maximum, find the area of $△OAB$.

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