
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 that $A$ and $B$ are two points on the parabola $E: y^{2} = 2px (p > 0)$, different from the vertex $O$, and $\triangle AOB$ is an equilateral triangle with an area of $48\sqrt{3}$, then the value of $p$ is $\boxed{\text{A: }2}$.

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