
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
Suppose the focus of the parabola $y^{2}=2px$ coincides with the right focus of the hyperbola $\frac{x^{2}}{3}-y^{2}=1$, then the distance from a point $P(2,b)$ on the parabola to the focus of the parabola is $\_\_\_\_\_\_.$

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