
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
If the function $f(x)=4^{x}-m\cdot2^{x}+m+3$ has two distinct zeros $x\_1$, $x\_2$, and $x\_1+x\_2 > 0$, $x\_1 x\_2 > 0$, determine the range of the real number $m$.

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