
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 $y_{1}=m\left(x-2m\right)\left(x+m+2\right)$, $y_{2}=x-1$, if they simultaneously satisfy:<br/>① For all $x\in R$, $y_{1} \lt 0$ or $y_{2} \lt 0$; ② There exists $x\in \{x\left|\right.x \lt -3\}$, $y_{1}y_{2} \lt 0$<br/>then the range of $m$ is ______.

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