
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
Let O be the origin of coordinates, F be the focus of the parabola $y^2 = 2px$ ($p > 0$), and A be a point on the parabola. The angle between $\overrightarrow{FA}$ and the positive direction of the x-axis is 60°. Find the magnitude of $\overrightarrow{OA}$.

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