
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
Consider a right-angled triangle $ABC$ with the right angle at $B$. A circle $O$ with diameter $AB$ intersects side $AC$ at point $E$. Point $D$ lies on side $BC$, and line $DE$ is tangent to circle $O$. If $\angle A = 56^\circ$, then the measure of $\angle BDE$ is ______.

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