
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 \(C_3\) and \(C_4\) be circles of radius 2 that are in the same plane and tangent to each other. How many circles of radius 3 are in this plane and tangent to both \(C_3\) and \(C_4\)?
A) 3   
B) 4   
C) 5   
D) 6   
E) 8

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