
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 $C: y^{2}=2px\left(p \gt 0\right)$, with $F$ as its focus, point $M(2$,$y_{0})$ lies on $C$, and $S_{\triangle OFM}=4$ (where $O$ is the origin).<br/>$(1)$ Find the equation of the parabola $C$;<br/>$(2)$ If $A$ and $B$ are two distinct moving points on $C$ other than $O$, and $\angle AOB=90^{\circ}$, a line $ON\bot AB$ is drawn passing through point $O$. Is there a fixed point $Q$ in the plane such that $|NQ|$ is a constant value? If yes, find the fixed point $Q$ and the constant value; if not, explain why.

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