
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 propositions $p$ and $q$:
- Proposition $p$: The equation $(m-1)x^2+(3-m)y^2=(m-1)(3-m)$ represents an ellipse.
- Proposition $q$: The line $y=mx-1$ and the hyperbola $x^2-y^2=4$ have no common points.
Find the range of values for $m$ if the proposition $p \wedge q$ is true.

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