
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 parabola $y^{2}=8x$ with a focus at point $F$, a line $l$ is drawn through point $F$ intersecting the parabola at points $A$ and $B$. If the distance from the midpoint $E$ of segment $AB$ to the $y$-axis is $3$, find the length of chord $AB$.

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