
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 $p$: "The equation $\frac{x^{2}}{m-1} + \frac{y^{2}}{3-m} = 1$ represents an ellipse with foci on the $y$-axis", and $q$: "The domain of the function $f(x) = \lg(x^{2} - mx + \frac{9}{16})$ is $\mathbb{R}$".
(1) If proposition $p$ is true, find the range of values for the real number $m$;
(2) If $p \land q$ is true, find the range of values for the real number $m$.

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