
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 circular plaza includes a three-layer arrangement: a central water feature, surrounded by a decorative tile area, then bordered by a circular walkway. The water feature has a diameter of 16 feet. The decorative tile area is 12 feet wide uniformly around the water feature, and the walkway is 10 feet wide. What is the diameter of the circle that forms the outer boundary of the walkway?

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