
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 that $m$ is a real number that satisfies ${{m}^{2}}-4am+3{{a}^{2}}\leqslant 0$, where $a\in R$. Also, $m$ is a real number that makes the equation $\dfrac{{{x}^{2}}}{2+m}+ \dfrac{{{y}^{2}}}{m+1}=1$ represent a hyperbola.

(1) When $a=-1$, if the proposition "p or q" is true, find the range of values for $m$.

(2) If $p$ is a necessary but not sufficient condition for $\neg q$, find the range of values for the real number $a$.

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