
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
Let \(ABC\) be a triangle with \(CA = CB = 5\) and \(AB = 8\). A circle \(\omega\) is drawn such that the interior of triangle \(ABC\) is completely contained in the interior of \(\omega\). Find the smallest possible area of \(\omega\).

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