
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
Two squirrels are located at points \( A \) and \( B \) and start simultaneously jumping along lines \( A O \) and \( B O \) toward point \( O \). After passing point \( O \), each continues to move along their respective lines. The distances \( A O = 120 \) meters and \( B O = 80 \) meters, and the angle \(\angle A O B = 60^\circ\). The squirrels move at the same constant speed. What is the minimum distance between the squirrels during their movement?

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