
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 the function $f(x)=\frac{2⋅4^x}{4^x+4^{-x}}$.  
$(1)$ Determine the parity of the function $g\left(x\right)=f\left(x\right)-1$, and find the range of the function $y=g\left(x\right)$;  
$(2)$ If a real number $m$ satisfies $g\left(m\right)+g\left(m-2\right) \gt 0$, find the range of values for the real number $m$.

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