I appreciate the response.
This is something I've tried every time except for after the first time I added the new value. At that time I could see it in ArcGIS Pro, so I assumed it was ready to go. However, a user tried using the domain in ArcMap and informed me the new value was not available. Upon checking ArcCatalog at that time, the new value was not present.
Every time after that first initial attempt, I have checked both locations. Unfortunately, each time it is there in Pro, but not in ArcCatalog