
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 $z=(2m^{2}-3m-2)+(m^{2}-3m+2)i$.  
(Ⅰ) For what values of the real number $m$ is the complex number $z$:  
① A real number;  
② A pure imaginary number;  
(Ⅱ) Simplify $\dfrac {z^{2}}{z+5+2i}$ when $m=0$.

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