
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 functions $f\left(x\right)=\ln x-mx+1$ and $g\left(x\right)=x(e^{x}-2)$.<br/>$(1)$ If the maximum value of $f\left(x\right)$ is $0$, find the value of $m$;<br/>$(2)$ If $f\left(x\right)\leqslant g\left(x\right)$ holds for any $x$ in its domain, find the range of values for $m$.

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