Ideally your T+A and your PC use DHCP, allowing for automatic IP assignment and configuration. In this case both should connect to your home network, not directly.
If your T+A really does not, you probably need to restart your PC to make sure it takes on the T+A network configurations.
Essentially both your PC and T+A need to be on the same subnet or it will attempt to route the packets outside. For instance:
PC : 192.168.1.112
T+A : 10.1.5.42
That won’t work. Nor will 192.168.2.xxx, again, wrong subnet.