
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 plane $(xOy)$, let proposition $p$ be that the foci of the ellipse $C$: $\frac{x^2}{m} + \frac{y^2}{8-m} = 1$ are on the $x$-axis, and let proposition $q$ be that the line $l$: $x - y + m = 0$ intersects the circle $O$: $x^2 + y^2 = 9$. If exactly one of the propositions $p$ and $q$ is true, find the range of real values for $m$.

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