Make a schedule
Once you have created manageable chunks, you need to put them in your calendar.
Build a clear communication
Letting people know when you are available and when you are not. It is important to communicate with people you work with about your deep work hours and your absence during the time frame.
You could also put it in the email signature if your response time is longer. Again, this might seem unusual at first, but it is a completely normal practice.
