
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 polar coordinate system is established with the origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis. Given the line $\begin{cases} & x=-t \ & y=\sqrt{3}t \ \end{cases}$ ($t$ is the parameter) and the curve $C_{1}$: $ρ=4\sin θ$, the point $A$ is the intersection of the line and the curve $C_{1}$ that is distinct from point $O$. Similarly, the point $B$ is the intersection of the line and the curve $C_{2}$: $ρ=2\sin θ$ that is distinct from point $O$. Find the length $|AB|$.

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