
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 complex number $z_{1}=-2+i$, $z_{1}z_{2}=-5+5i$ (where $i$ is the imaginary unit). Find:<br/>
$(1)$ the complex number $z_{2}$;<br/>
$(2)$ if the point corresponding to complex number $z_{3}=(3-z_{2})[(m^{2}-2m-3)+(m-1)i]$ is in the fourth quadrant, find the range of real number $m$.

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