
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
Two right triangles share a side as described: Triangle ABC has sides AB = 8 units and BC at right angle with length 6 units. Triangle ABD is on the other side of AB, sharing side AB, with BD also 8 units, forming a right angle at B. We are also given that AE bisects the angle CAD. Calculate the area of triangle ADE.

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