
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 $x^{2}+(m-3)x+1=0$ has no real roots.
- Proposition $Q$: The equation $x^{2}+ \frac{y^{2}}{m-1}=1$ is an ellipse with foci on the $y$-axis.

If $\lnot P$ and $P \land Q$ are both false propositions, find the range of values for $m$.

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