
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
Let $C_1$ and $C_2$ be circles of radius 2 each, that are in the same plane and tangent to each other. Determine how many circles of radius 3 are in this plane and tangent to both $C_1$ and $C_2$.
A) 2
B) 4
C) 5
D) 6
E) 8

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