
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 proposition p: "The curve corresponding to the equation $x^2+y^2-x+y+m=0$ is a circle", and proposition q: "The angle between the two asymptotes of the hyperbola $mx^2-y^2=1$ is $60^\circ$". If only one of these two propositions is true, find the range of the real number $m$.

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