
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
Jack needs to encircle a round garden table with a decorative string. The table top has an area of 176 square inches. He decides to buy 3 inches more of the string than the table's circumference to ensure enough length. Calculate the total length of string Jack needs to buy if he uses $\pi \approx \frac{22}{7}$ for his calculations.

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