
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
If the diameter of a circle is one unit, the length of the string surrounding the circumference is expressed as a mixed number: $3+\frac{8}{60}+\frac{34}{60^{2}}+\frac{17}{60^{3}}+\frac{8}{60^{4}}$. Determine the degree of decimal accuracy to which this approximation for $\pi$ is precise.

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