Yes, it is possible to apply both Extraction Logic and Compound Branching Logic to the same question. However, please note that when you apply Extraction Logic, it automatically adds a Skip Logic to the extracted question. Since Skip Logic and Compound Branching Logic cannot be used together on the same question, this causes an error.

To resolve this:

1. First, apply the Extraction Logic.

2. Then, reset the Skip Logic that was added by default.

3. Once the Skip Logic is removed, you can successfully apply the Compound Branching Logic.

Here are some helpful references:

Error while applying Compound Branch Logic: https://app.screencast.com/b7ey3TEGJgwk5

Resetting Skip Logic: https://app.screencast.com/8GkFhDmPrGE8N

Error resolved after reset: https://app.screencast.com/gJAnK8rTwxLla