
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, the parametric equation of line $l$ is given by $\begin{cases} & x=t \\ & y=\sqrt{3}t \end{cases}$ ($t$ is the parameter). Establish the polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the $x$-axis as the polar axis. The length units of the coordinate axes are consistent. The polar equation of curve $C$ is $4ρ^{2}\cos 2θ-4ρ\sin θ+3=0$.

(I) Find the polar equation of line $l$;

(II) If line $l$ intersects curve $C$ at points $A$ and $B$, find $|AB|$.

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