
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
Proposition p: "The equation $x^2+ \frac{y^2}{m} = 1$ represents an ellipse with foci on the y-axis"; Proposition q: "For any real number $x$, $mx^2+mx+1>0$ always holds." If $p \land q$ is a false proposition and $p \lor q$ is a true proposition, find the range of the real number $m$.

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