lan connection error

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The cert may be the issue. I recall there was a problem (?) with the Android app where it wouldn't work when you're essentially asking for HTTP when Jellyfin is set up with HTTPS through the software itself. The recommended approach is definitely a reverse proxy, which works exactly as you'd like, except serving HTTP on LAN. I don't believe that the apps have a way to acknowledge and proceed with an invalid cert, so they just don't function. This is actually decent behavior, since most of the time you don't want to connect to a site with an invalid cert.