
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 $(xOy)$, with the coordinate origin $O$ as the pole and the positive semi-axis of $x$ as the polar axis, establish a polar coordinate system. Consider the curve $C\_1$: $ρ^{2}-4ρ\cos θ+3=0$, $θ∈[0,2π]$, and the curve $C\_2$: $ρ= \frac {3}{4\sin ( \frac {π}{6}-θ)}$, $θ∈[0,2π]$.
(I) Find a parametric equation of the curve $C\_1$;
(II) If the curves $C\_1$ and $C\_2$ intersect at points $A$ and $B$, find the value of $|AB|$.

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