
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 numbers $z_1 = a^2 - 2 - 3ai$ and $z_2 = a + (a^2 + 2)i$, if $z_1 + z_2$ is a purely imaginary number, find the value of the real number $a$.
Options:  
A) 1  
B) 2  
C) -2  
D) 1 or -2

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