
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
In a plane, four circles with radii $2, 4, 6,$ and $8$ are tangent to a horizontal line $\ell$ at the same point $A$. The circles are on both sides of $\ell$. Region $R$ consists of all the points that lie inside exactly one of the four circles. What is the maximum possible area of region $R$?

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