
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
Three circles with radii $2$, $3$, and $4$ are mutually externally tangent. What is the area of the triangle determined by their points of tangency?
A) $\frac{6}{5}$
B) $\frac{10}{3}$
C) $\frac{8}{3}$
D) 4

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