
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 elective course 4-4: Coordinate System and Parametric Equations,
the polar coordinate system and the Cartesian coordinate system xOy share the same unit length. The origin O is the pole, and the positive x-axis is the polar axis. The line l has the parametric equations $x=2+\frac{1}{2}t$ and $y=\frac{\sqrt{3}}{2}t$ (where t is the parameter), and the curve C is given by the polar equation $\rho \sin^2 \theta = 8 \cos \theta$.
(Ⅰ) Find the Cartesian equation for curve C.
(Ⅱ) Suppose line l intersects curve C at points A and B. Find the length of the chord |AB|.

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