I installed Tailscale on a Dell laptop when I only had a Wi-Fi connection available.
I recently got a USB-C dock with Ethernet port but Tailscale won’t work (access other LANs) if the dock is plugged in.
Seems the Tailscale app can’t sense the network change (lower metric LAN connection) and continue working.
If I am not wrong, if you have LAN connection, the wireless should not be the priority anymore? So all any connections should be through the LAN.
I don’t have a dock but when plugging directly into my laptop’s network plug, tailscale goes through the LAN.
Does disconnect and reconnect help to establish the correct connection through the LAN? Have you tested using your laptop’s network port (if that is available)?