
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
Eight spheres, each with radius 2, are placed one in each octant and are each tangent to the coordinate planes. What is the radius of the smallest sphere that, centered at the origin, encloses these eight spheres, and what is the surface area of this enclosing sphere?
A) $2 + \sqrt{3}$
B) $4 + \sqrt{3}$
C) $2 + 2\sqrt{3}$
D) $2 + \sqrt{3} + \pi$
E) $2\sqrt{3} + 2$

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