
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 point $A$ is on the parabola $C$: $x^{2}=2py (p > 0)$, and $O$ is the coordinate origin. If $A$ and $B$ are the two common points of the circle with center $M(0,10)$ and radius $|OA|$, and $\triangle ABO$ is an equilateral triangle, then the value of $p$ is $\_\_\_\_\_\_$.

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