
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 $f(x)$, if there exists a real number $x$ in its domain such that $f(-x) = -f(x)$, then $f(x)$ is called a "locally odd function". If $f(x) = 4^{x} - m2^{x+1} + m^{2} - 5$ is a "locally odd function" on the domain $R$, what is the range of values for the real number $m$?

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