
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 $f(x)=\frac{{a-{e^x}}}{{{e^x}+a}}$ is an odd function with the domain of $R$.  
$(1)$ Find the value of $a$;  
$(2)$ If for $\forall x\in \left[1,2\right]$, the inequality $f(2^{x+1}-4^{x})+f\left(1-m\right) \gt 0$ always holds, find the range of real number $m$.

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