
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 the function $f\left(x\right)=\frac{{a⋅{2^x}-1}}{{{2^x}+b}}$ is an odd function defined on $R$, when $x\in \left[1,2\right]$, $2+mf\left(x\right)+2^{x} \gt 0$ always holds, then the range of $m$ is ____.

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