
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
The distances between transport nodes, where goods are received and transmitted, are respectively: 2 km; $\sqrt{7}$ km, and 3 km. A warehouse, located inside the transportation zone (a triangle with vertices at the points of goods reception and transmission), is connected to the transport nodes by direct roads. What is the minimum distance a truck will travel if it needs to make three trips to each transport node sequentially, leaving from the warehouse each time and returning back?

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