Can't you access https://media01.lan.example.club from your lan? It worked just fine with the openssl test I asked you to do earlier.
That works because nginx is a reverse proxy back to your jellyfin (at least from what you showed recently). nginx uses HTTP back to jellyfin (not HTTPS). That's normal because you don't necessarily need HTTPS between two machines on your own lan.
But, this latest example shows you connecting directly to the jellyfin port 8920 using HTTPS. I don't understand why you need to do that.
And, if you do, what have you done to configure jellyfin to support direct HTTPS connections? Usually servers need config to support that like you did with nginx.