
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 $m\in \mathbb{R}$, and a complex number $z=m^{2}-m-6+(m^{2}-11m+24)i$ (where $i$ is the imaginary unit).<br/>$(1)$ If $z$ is a pure imaginary number, find the value of $m$;<br/>$(2)$ If the point corresponding to $z$ in the complex plane is located in the second quadrant, find the range of values for $m$.

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