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.

Check if bpm-power.com ships to your location, depending on the item they have decent prices. Based in Italy

Well, Win10 Home and Pro EOL is late 2025, so it’s tecnically correct…

Modern Gnome should in theory be able to adapt to any (reasonable) display size. So anything with recent enough repos would be a good fit