
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 an ellipse $C$: $\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1 \left(a > b > 0\right)$ with eccentricity $\dfrac{\sqrt{3}}{2}$, and it passes through point $A(2,1)$.

(Ⅰ) Find the equation of ellipse $C$;  
(Ⅱ) If $P$, $Q$ are two points on ellipse $C$, and the angle bisector of $\angle PAQ$ is always perpendicular to the x-axis, determine whether the slope of line $PQ$ is a constant value. If yes, find the value; if no, explain why.

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