
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 that the complex numbers \( z_1 \) and \( z_2 \) satisfy \( \left|z_1\right| = 2 \) and \( \left|z_2\right| = 3 \). If the angle between the corresponding vectors is \( 60^\circ \), then compute \( \left|\frac{z_1 + z_2}{z_1 - z_2}\right| \).

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