
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 circle is inscribed in an equilateral triangle. Three smaller circles are tangent to the inscribed circle and to the sides of the triangle. Find the side of the triangle if the radius of a smaller circle is $r$.

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