Does Local File Networking work over the internet in BrightAuthor:connected?

You can use Local File Networking only over a local network, not over the Internet.

Local File Networking supports a maximum of ten players on a local network. Exceeding this recommended number may cause unreliable behavior when publishing content to players. For larger deployments, we recommend using Simple File Networking or BSN.cloud Networking publishing methods (which work over the Internet) instead.