
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 function $f(x)$ is an odd function defined on $[-3,3]$, and when $x \in [0,3]$, $f(x) = \log_{2}(x+1)$, and function $g(x) = x^{2} - 2x + m$, $x \in [-3,3]$. Determine the range of values for the real number $m$ if for all $x_{1} \in [-3,3]$, there exists $x_{2} \in [-3,3]$ such that $g(x_{2}) = f(x_{1})$.

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