
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 $C$: $y^2=2px$ ($p > 0$), its focus is $F$. A line $l$ passes through point $F$ with a slope angle of $60^{\circ}$ and intersects the parabola $C$ at points $A$ and $B$ in the first and fourth quadrants, respectively. Determine the value of $\frac{|AF|}{|BF|}$.

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