
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
In the following configuration, triangles $\triangle ABC$ and $\triangle BCD$ are right triangles:
- $AB = 8\, \text{units}, BC = 8\, \text{units}, AC$ forms the hypotenuse of $\triangle ABC$.
- $BD = 8\, \text{units}, CD = 8\, \text{units}, BC$ is the shared side and forms the hypotenuse of $\triangle BCD$ with side $BD$.
Find the area of $\triangle ACD$.

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