
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 rectangular coordinate system $xoy$, the parametric equations of the curve $C\_1$ are given by $ \begin{cases}x=1+ \sqrt {3}\cos θ \
y= \sqrt {3}\sin θ\end{cases}$ (where $θ$ is the parameter), point $M$ is a moving point on the curve $C\_1$, and point $P$ is on the curve $C\_2$ such that $\overrightarrow{OP}=2 \overrightarrow{OM}$.

(I) Find the ordinary equation of the curve $C\_2$;

(II) Establish a polar coordinate system with the origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis. The ray $θ= \dfrac {π}{3}$ intersects the curves $C\_1$ and $C\_2$ at points $A$ and $B$, respectively. Find $|AB|$.

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