I’ll echo the rest of the comments and say Debian with docker. I use podman myself but the setup should be similar enough. I used the official Jellyfin guide from their wiki and got everything working in a day, including transcoding.

They use XDG Desktop Portal, which makes video and audio capture system level instead of application level to enhance security. When a program wants to record your screen you get a pop up to choose which screen/window to share. After that the app can only see that window or screen.

Parannoul - Beautiful World. If you like it, check out his albums, especially To See the Next Part of the Dream and After the Magic