>If you're strictly talking about MS-DOS-only productivity software, there’s no widely known MS-DOS productivity app that officially had a built-in Connect Four game. Most MS-DOS apps were quite lean and focused, and games were generally separate.
I suspect this is the correct answer, because I can't find any MS-DOS Connect Four easter eggs by googling. I might be missing something obscure, but generally if I can't find it by Googling I wouldn't expect an LLM to know it.