
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
Vanessa wants to decorate a circular sign with a ribbon along its edge. The area of the circle is 308 square inches. She plans to purchase 3 inches more than the circle's circumference to ensure she has enough ribbon. If she uses the approximation $\pi = \frac{22}{7}$, how many inches of ribbon does Vanessa need to buy?

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