
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
Henry starts from his home and walks towards a gym located 3 kilometers away. He walks $\frac{2}{3}$ of the distance towards the gym before changing his mind. Then he walks $\frac{2}{3}$ of the remaining distance back toward his home. He continues this process, each time walking $\frac{2}{3}$ of the distance from his last position towards his destination (either home or the gym). Henry stops once the distance he walks is less than 0.1 kilometer. What is the total distance Henry has walked when he stops?
A) 2.5 km
B) 2.7 km
C) 2.777 km
D) 3 km

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