
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 $F$ is the focus of the parabola $y^{2} = 2px (p > 0)$, a line passing through $F$ with a slope angle of $60^{\circ}$ intersects the curve $C$ at points $A$ and $B$, where $B$ is in the first quadrant and $A$ is in the fourth quadrant. $O$ is the coordinate origin, and $M$ is the foot of the perpendicular from $A$ to the directrix of $C$. Determine the ratio of $|OB|$ to $|OM|$.

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