
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 function $f(x)=(x^{2}-ax-a)e^{x}$.  
$(1)$ Discuss the monotonicity of $f(x)$;  
$(2)$ If $a\in(0,2)$, for any $x_{1}$, $x_{2}\in[-4,0]$, it always holds that $|f(x_{1})-f(x_{2})| < 4e^{-2}+me^{a}$, find the range of $m$.

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