
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
A circle passes through vertices \(A\), \(B\), and \(C\) of a parallelogram \(ABCD\) with sides \(AB = 5\) and \(BC = 2\) and intersects the line containing the diagonal \(BD\) at point \(E\). It is known that \(BE = 8\). Find \(BD\).

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