
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
Point \( C \) is located on segment \( A E \). On one side of the line \( A E \), points \( B \) and \( D \) are marked such that \( \triangle ABC \) is equilateral and \( \triangle CDE \) is an isosceles right triangle with a right angle at \( D \). It turns out that \( \triangle BCD \) is isosceles with base \( BC \). Find angle \( ADE \).

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