
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 two propositions:
p: For any real number $x$, the inequality $mx^2 + mx + 1 > 0$ always holds.
q: The equation $$\frac{x^2}{m-1} + \frac{y^2}{m-2} = 1$$ represents a hyperbola with foci on the x-axis.
If $p \lor q$ is a true proposition and $p \land q$ is a false proposition, determine the range of real values for $m$.

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