I just switched from my old MacBookPro (2014) to a new MacBookPro 16"(2021) running OS 12.2.1. Does the latest version of AppShelf work with Mac OS 12.2.1 Monterey?
According to the AppShelf website, the latest version is compatible with macOS Monterey, so yes, it should work on your new MacBook Pro running macOS 12.2.1.