The Home versus Pro (or any other edition) information is read right after the copyright line. In the case of my machine, after the copyright line is read, the next line starts with, "The Windows 10 Pro operating system . . ."
After you hear that part, there is nothing after it that would be of any value as far as doing diagnostics for a given machine/issue. The big three are version, build, and edition.
Brian - Windows 10 Pro, 64-Bit, Version 20H2, Build 19042
Any idiot can face a crisis. It's the day-to-day living that wears you out.
~ Anton Chekhov