
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 $C_{1}: y^{2}=2px(p > 0)$ with focus $F$, there exists a point $G$ on the parabola such that the distance from $G$ to the focus is $3$, and point $G$ lies on the circle $C: x^{2}+y^{2}=9$.  
(Ⅰ) Find the equation of the parabola $C_{1}$.  
(Ⅱ) It is known that one focus of the ellipse $C_{2}: \dfrac{x^{2}}{m^{2}}+ \dfrac{y^{2}}{n^{2}}=1(m > n > 0)$ coincides with the focus of the parabola $C_{1}$, and its eccentricity is $\dfrac{1}{2}$. The line $l: y=kx-4$ intersects the ellipse $C_{2}$ at two distinct points $A$ and $B$. If the origin $O$ is outside the circle with diameter $AB$, find the range of values for $k$.

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