
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 pole of the polar coordinate system coincides with the origin of the rectangular coordinate system, and the polar axis coincides with the non-negative semi-axis of the $x$-axis, the equation of the curve $C\_1$ is given by $ρ\sin (θ+ \dfrac {π}{3})+2 \sqrt {3}=0$, and the parametric equations of the curve $C\_2$ are given by $ \begin{cases} x=2\cos θ \\\\ y=2\sin θ\\end{cases}(θ\text{ is the parameter})$

1. Convert the equation of $C\_1$ into rectangular coordinates.
2. If point $Q$ is a moving point on $C\_2$, and $P$ is a moving point on $C\_1$, find the minimum value of $|PQ|$.

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