
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 $C$: $y^{2}=2px (p > 0)$, and the circle $⊙M$ passes through the coordinate origin and point $F$, with the center $M$ being at a distance of $\frac{3}{2}$ from the directrix of the parabola $C$.
(I) Find the equation of the parabola $C$;
(II) Given a point $N(s,4)$ on the parabola $C$, two chords $NA$ and $NB$ are drawn through $N$ perpendicular to each other. Determine whether the line $AB$ passes through a fixed point and provide a rationale.

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