
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 curve $C: y= -\sqrt{9-x^2}$ and the line $l: y=2$, if for point $A(0,m)$, there exists a point $P$ on $C$ and a point $Q$ on $l$ such that $\overrightarrow{AP} + \overrightarrow{AQ} = \overrightarrow{0}$, then the range of values for $m$ is \_\_\_\_\_\_.

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