
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
A naval vessel at point A observes a distressed fishing boat at point B, which bears North-East 30° from A at a distance of $6\sqrt{3}$ nautical miles. It is known that the fishing boat is moving due east at a speed of $6\sqrt{3}$ nautical miles per hour. If the vessel heads towards the boat at a speed of 18 nautical miles per hour, calculate the shortest time for the vessel to catch up with the fishing boat.

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