
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 the docks of the island, where the loading and unloading of fish take place, are respectively: 4 km, $\sqrt{13}$ km, and 3 km. A refrigerator located inside the transportation zone (a triangle, the vertices of which are at the loading and unloading points) is connected to the docks by direct roads. What is the minimum distance that a refrigerated truck, which needs to make three trips to each dock sequentially, leaving each time from the refrigerator and returning back, will travel?

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