
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
Construct an equilateral triangle on one side of a regular hexagon. On a non-adjacent side of the hexagon, construct a square. On one non-adjacent side of the square, construct a pentagon. Continue in this manner, constructing a heptagon on a non-adjacent side of the pentagon, until you reach and include a nonagon. Determine the total number of sides of the resulting external polygon.

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