
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 "super ball" is dropped from a height of 20 meters above the ground. On each bounce, it rises to $\frac{2}{3}$ of the height reached after the previous bounce. Calculate the total distance travelled by the ball when it is caught at the high point after hitting the ground for the fourth time.

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