
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 the interval $[-2, 2]$, and when $x \in (0, 2]$, $f(x) = 2^x - 1$, let the function $g(x) = x^2 - 2x + m$. If for every $x_1 \in [-2, 2]$, there exists an $x_2 \in [-2, 2]$ such that $g(x_2)=f(x_1)$, then the range of values for the real number $m$ is:

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