AppImage is a frustrating invention for Linux. It should work like macOS's .app, but it falls short. Getting an app to run and dock always involves tinkering and manually deploying a .desktop item, among other hassles.
I wish I had known about Gear Lever for Gnome earlier. https://www.omgubuntu.co.uk/2024/07/gear-lever-appimage-app-for-gnome
Gear Lever makes updating AppImage apps much easier. I prefer .deb packages, but too many apps don't offer them.
Source code: https://github.com/mijorus/gearlever