
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 optional math module 4-4: Coordinate System and Parametric Equations

It is known that the pole of the polar coordinate system is at the origin of the Cartesian coordinate system, and the polar axis coincides with the positive half-axis of the x-axis. The line \( l \) has the parametric equations: 
$$
\begin{cases}
x = -1 + \frac{\sqrt{3}}{2}t \\
y = \frac{1}{2}t
\end{cases}
$$
(where \( t \) is the parameter), and the curve \( C \) has the polar equation \( \rho = 4\cos\theta \).

(Ⅰ) Write the Cartesian coordinate equation of \( C \) and identify what curve \( C \) is;

(Ⅱ) Suppose line \( l \) intersects curve \( C \) at points \( P \) and \( Q \). Find the value of \( |PQ| \).

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