
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 y² = 2px (p > 0) with focus F, a line l passes through F with a slope angle of 60° and intersects C at point A (x₀, √3). Determine the value of p.

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