
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) When $a=1$, find the intervals of monotonicity for $f(x)$;

(2) If $a \in (0, 2)$, for any $x_1, x_2 \in [-4, 0]$, it always holds that $|f(x_1) - f(x_2)| < (6e^{-2} + 2) \cdot m$, find the range of $m$.

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