
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 polar coordinate system and the Cartesian coordinate system $xoy$, they share the same unit of length. The origin $O$ is taken as the pole, and the positive half-axis of $x$ is taken as the polar axis. It is known that the parametric equation of line $l$ is $\begin{cases} x=2+ \dfrac {1}{2}t \\ y= \dfrac { \sqrt {3}}{2}t\end{cases}$ (where $t$ is the parameter), and the polar equation of curve $C$ is $\rho\sin ^{2}\theta=8\cos \theta$.
- (I) Find the Cartesian coordinate equation of $C$;
- (II) Suppose line $l$ intersects curve $C$ at points $A$ and $B$, find the length of chord $|AB|$.

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