
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
For the function $y=f\left(x\right)$, if there exists $x_{0}$ such that $f(x_{0})=-f(-x_{0})$, then the points $(x_{0}$,$f(x_{0}))$ and $(-x_{0}$,$f(-x_{0})$) are called a pair of "hidden symmetric points" of the function $f\left(x\right)$. If the graph of the function $f(x)=\left\{\begin{array}{l}{x}^{2}+2x,x＜0\\ mx+4,x≥0\end{array}\right.$ has "hidden symmetric points", then the range of real number $m$ is ______.

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