
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
In the Cartesian coordinate system $xOy$, it is known that the center of the circle $x^{2}+y^{2}-12x+32=0$ is $Q$, and the line passing through point $P(0,2)$ with slope $k$ intersects the circle $Q$ at two different points $A$ and $B$.  
(Ⅰ) Find the range of values for $k$;  
(Ⅱ) Is there a constant $k$ such that the vector $\overrightarrow{OA}+ \overrightarrow{OB}$ is collinear with $\overrightarrow{PQ}$? If it exists, find the value of $k$; if not, explain why.

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