
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
Points $A$ and $B$ are $8$ units apart in a given plane. How many lines can be drawn that are tangent to circles centered at points $A$ and $B$, where the radius of the circle centered at point $A$ is $3$ units, and the radius of the circle centered at point $B$ is $2$ units?
A) 0  
B) 1  
C) 2  
D) 3  
E) More than 3

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