
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
If the complex numbers \( z_{1} \) and \( z_{2} \) satisfy \( \left|z_{1}\right|=2 \), \( \left|z_{2}\right|=3 \), and \( 3z_{1} - 2z_{2} = \frac{3}{2} - 1 \), then \( z_{1} \cdot z_{2} = \)

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