
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 $f(x) = \begin{cases} 2^{x}-m & (x>0) \\ -x^{2}-2mx & (x\leq0)\end{cases}$, if the function $g(x) = f(x) - m$ has exactly 3 zeros, determine the range of the real number $m$.

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