I know that you can have a shortcut on the users phone home screen but I've run into a bunch of problems with that setup where hitting it multiple times opens multiple tabs etc.

Have you found nice workarounds for that?

You have to build a proper PWA with a fully formed manifest.json first off. Web Push (i.e: Push Notifications) are fully supported on both iOS and Android. The Only thing that doesn't work is "background" work (but preactically speaking I haven't really needed it).

If you'd like to find out how I build Mobile-first apps with Go, HTML and HTMX hit me up.