
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 numbers $z_1 = -2 + i$ and $z_1z_2 = -5 + 5i$ (where $i$ is the imaginary unit),  
(1) Find the complex number $z_2$;  
(2) If the complex number $z_3 = (3 - z_2)[(m^2 - 2m - 3) + (m - 1)i]$ corresponds to a point in the fourth quadrant, find the range of the real number $m$.

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