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You have to add the web app to the home screen, then the app needs to ask permission on a click event, the user needs to grant the permission and then focus mode, etc can still filter them out.

In many cases, you have a perfectly functional web app and the only feature you would gain from publishing a native mobile app would be push notifications. Apple used to gate this feature behind its app store/developer program. Now you have an alternative, and I think it was long overdue.

This is just for "Home Screen web apps", aka PWAs. No data for this one, but I'm comfortable saying grandparents largely do not install PWAs.

This is only for websites you intentionally add to your homescreen, though?