Pretty sure Amethyst uses "pull notifications" not push notifications
nostr:nprofile1qqs24yz8xftq8kkdf7q5yzf4v7tn2ek78v0zp2y427mj3sa7f34ggjcpzamhxue69uhhv6t5daezumn0wd68yvfwvdhk6tcppemhxue69uhkummn9ekx7mp0qyg8wumn8ghj7mn0wd68ytnddakj703s8dt, nostr:nprofile1qqs9ajjs5p904ml92evlkayppdpx2n3zdrq6ejnw2wqphxrzmd62swspzemhxue69uhhyetvv9ujuvrcvd5xzapwvdhk6qgdwaehxw309aukzcn49ekk2qghwaehxw309aex2mrp0yh8x6tpd4ehgu3wvdhk6ynf30t
But Nostr push is flakey, so people use Pokey on Android to poll notifications.
Discussion
Amethyst has a unified push option.
I had Unified Push set up on my personal Nextcloud, but it drained my phone battery because it has to be set up a certain way, and I don't have time to figure it out, so I ended up uninstalling it.
Was working in Amethyst and Molly (Signal branch)