
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 proposition $p$: The equation $\frac{x^{2}}{1-m} + \frac{y^{2}}{m+2}=1$ represents a hyperbola; proposition $q$: $\frac{x^{2}}{2m} + \frac{y^{2}}{2-m}=1$ represents an ellipse with foci on the $x$-axis. If both propositions are true, determine the range of values for $m$.

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