Amp Desktop is named under Install > AI
A menu entry merged into quattro names Amp Desktop under Install > AI, with a matching remove entry. The package is not published yet, the live menu was not clicked through, and David Heinemeier Hansson wrote that he added it to the Omarchy Dev version.
Install uses the same one-line launcher as Grok Bot and Perplexity, and the row is greyed out once amp-desktop-bin is installed.
Remove quits the app, drops the package, and deletes the desktop app's config and its updater cache. It leaves the Amp command-line files alone.