Install
The Emby Discord plugin can be installed using the Emby Server plugin catalog. It requires Emby Server version 4.8+.
Contribute
https://github.com/MediaBrowser/Emby.Notifications.Discord
For those interested:
Thanks to @BaukeZwart for making me aware of the alternative, namely Notifiarr (GitHub - Notifiarr/notifiarr: Client for Notifiarr.com).
It has great integration with Discord and notifications are highly customizable (fields, colors) and look really smooth.
Currently not Emby compatible, but should be shortly, as per Dev.
For those that can't wait that long (like me), atm it can be done via Sonarr (Webhooks) and Radarr (native support). 10ish minutes set