
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
Given the parametric equation of line $l$ as $\begin{cases} \left.\begin{matrix}x=1+t \\ y= \sqrt {3}t\end{matrix}\right.\end{cases}$ (where $t$ is the parameter), and the polar equation of curve $C$ as $\rho=4\cos\theta$, find the length of the chord that line $l$ cuts from curve $C$.

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