
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 $f(x)$ is an odd function defined on $\mathbb{R}$, when $x \leq 0$, $f(x) = (x + 2)e^{-x} - 2$ (where $e$ is the base of the natural logarithm, $e = 2.71828...$).

(I) Find the analytical expression of $f(x)$ when $x > 0$;

(II) If $x \in [0, 2]$, find the range of real number $m$ such that the equation $f(x) = m$ has real roots.

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