
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 $x^{2}+y^{2}-2mx+2m^{2}-2m=0$ represents a circle; and $q$: The eccentricity $e$ of the hyperbola $\frac{{{y}^{2}}}{5}-\frac{{{x}^{2}}}{m}=1$ is within the interval $(1,2)$. If the proposition "$(\neg p)\wedge q$" is true, find the range of values for the real number $m$.

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