
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
The line $l$ passes through the point $P_{0}(-4,0)$, and its parametric equation is $\begin{cases} x=-4+ \dfrac { \sqrt {3}}{2}t \\ y= \dfrac {1}{2}t\end{cases}$ (where $t$ is the parameter) and intersects with the circle $x^{2}+y^{2}=7$ at points $A$ and $B$. Then, the length of the chord $|AB|=$______.

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