
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
Four spheres, each with radius 2, are positioned such that three of them are resting on the floor in a triangular pattern and the fourth is resting on top of these three. Around these spheres, there is a tetrahedron circumscribing them. Determine the length of an edge of this tetrahedron.
A) 2
B) 4
C) 4\sqrt{2}
D) 4\sqrt{3}
E) 2\sqrt{6}

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