
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 square $WXYZ$ with side length 8, three smaller squares are drawn inside as shown. Two of the squares have side lengths of 4 and one has a side length of 3. Determine the area of the shaded $\text{L}$-shaped region created by these squares. Assume the smaller squares touch each other and the sides of the larger square as in the original setup.

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