
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
13. It is known that $f(x)$ is an odd function defined on $[-2,2]$, and when $x \in (0,2]$, $f(x) = 2^{x} - 1$. The function $g(x) = x^{2} - 2x + m$. If for every $x_{1} \in [-2,2]$, there exists $x_{2} \in [-2,2]$ such that $g(x_{2}) = f(x_{1})$, then the range of the real number $m$ is.

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