
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 ''magic ball'' is dropped from a height of 20 meters above the ground. On each bounce, it rises $\frac{2}{3}$ the height of the previous bounce. The ball is caught after it reaches the high point following its fourth bounce. Find the total distance travelled, rounding to the nearest meter.

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