
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 decides one morning to do a workout by walking from his home to a park, which is 4 kilometers away. Instead of walking the entire distance at once, he walks $\tfrac{2}{3}$ of the way towards the park, then changes his mind and walks $\tfrac{2}{3}$ of the way back towards home from his current position. He continues this process, changing his mind each time when reaching $\tfrac{2}{3}$ of the distance towards his current destination. If he stops once he has walked a total of 6 kilometers, how far from his home is he when he stops?
A) 0.8 km
B) 1.0 km
C) 1.2 km
D) 1.4 km
E) 1.6 km

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