MacOS Catalina does not allow any applications that are not Optimized to run. We found this workaround helpful. Just go into Parallels before updating and create a new virtual machine, just like you would for Windows, but install Mojave. Then you can run Mojave on Catalina, and thereby any old app.
How To Run 32-bit Apps in macOS Catalina
MacOS Catalina requires permission for Screen Capture.
Without permission, the Docs Screen Capture feauture will return an error:
Error when executing the method "bDoc_New" at line number 6.
The pathname is invalid. File Not Found. Blah, blah, blah.
To fix, enable Screen Recording permission as detailed below. (6992)
Docs Screen Capture
If you are curious about a replacement for AccountEdge for Catalina, you are not alone. As the link below indicates, "AccountEdge is not and will not be Catalina-compliant".
This solution provides a few questions to ask yourself to determine if Big Business might be suitable replacement. (6993)
AccountEdge is not and will not be Catalina-compliant