
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 complex numbers \( z_{1} \) and \( z_{2} \) such that \( \left|z_{1}\right| = 2 \) and \( \left|z_{2}\right| = 3 \). If the angle between their corresponding vectors is \( 60^{\circ} \), then find the value of \( \left|\frac{z_{1} + z_{2}}{z_{1} - z_{2}}\right| \).

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