
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
Let complex numbers $z\_1$ and $z\_2$ be symmetric about the imaginary axis in the complex plane, with $z\_1 = 2 + i$. Determine $z\_1 \cdot \overline{z\_2}$.

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