
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 ball is dropped from a height of 24 meters above the ground. On each bounce, it rises to $\frac{5}{8}$ of the height it fell. The ball is caught when it reaches the highest point after hitting the ground for the fourth time. Calculate the total distance the ball has traveled.

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