
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
Two circular poles, with diameters of 8 inches and 24 inches, touch each other at a single point. A wire is wrapped around them such that it goes around the entire configuration including a straight section tangential to both poles. Find the length of the shortest wire that sufficiently encloses both poles.
A) $16\sqrt{3} + 32\pi$
B) $16\sqrt{3} + 24\pi$
C) $12\sqrt{3} + 32\pi$
D) $16\sqrt{3} + 16\pi$
E) $8\sqrt{3} + 32\pi$

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