
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 complex number $z = (m^2 + m - 6) + (m^2 - 3m + 2)i$ where $m \in \mathbb{R}$.
- (I) For what value(s) of $m$ is $z$ a purely imaginary number?
- (II) If the point corresponding to the complex number $z$ on the complex plane is located in the second quadrant, find the range of values for the real number $m$.

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