
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
Rectangle $ABCD$ has sides $AD = 4$ and $AB = 6$. A circle of radius $2$ is centered at $A$, a circle of radius $3$ is centered at $B$, and a circle of radius $4$ is centered at $C$. Determine the area of the region inside the rectangle but outside all three circles.

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