
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 the power function $f\left(x\right)=(m^{2}+4m+4)x^{m+2}$ is monotonically decreasing on $\left(0,+\infty \right)$.<br/>$(1)$ Find the value of $m$;<br/>$(2)$ If $\left(2a-1\right)^{-m} \lt \left(a+3\right)^{-m}$, find the range of values for $a$.

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