
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 cowboy is 6 miles south of a stream which flows due east. He is also 12 miles west and 10 miles north of his cabin. Before returning to his cabin, he wishes to fill his water barrel from the stream and also collect firewood 5 miles downstream from the point directly opposite his starting point. Find the shortest distance (in miles) he can travel to accomplish all these tasks.
A) $11 + \sqrt{276}$
B) $11 + \sqrt{301}$
C) $11 + \sqrt{305}$
D) $12 + \sqrt{280}$

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