
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]


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In an isosceles triangle \( \triangle ABC \), the base \( AB \) is the diameter of the circle, which intersects the legs \( AC \) and \( CB \) at points \( D \) and \( E \) respectively. Find the perimeter of the triangle \( ABC \), given \( AD = 2 \) and \( AE = \frac{8}{3} \).

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