
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
Consider the parabola $y^2 = 4x$. A line $l$ passes through the focus of the parabola and intersects the parabola at points $A$ and $B$. If the $x$-coordinate of the midpoint of line segment $AB$ is $3$, find the length of $|AB|$.

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