
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
Let proposition p: The curve represented by the equation $x^2+y^2-2x-4y+m=0$ is a circle;  
Proposition q: The curve represented by the equation $\frac{x^2}{m-6}-\frac{y^2}{m+3}=1$ is a hyperbola. If "p∧q" is false, find the range of the real number $m$.

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