You haven't said how the whole thing is set up, but if you want to have a computer and games console both online then either you use a router or you enable "Internet Connection Sharing" in the PC.
If the PC has two network adapters installed, one of which is the internet connection, "bridging" them isn't going to do any good because the ISP only allocates one IP address and the console has no way of getting its IP address. You must use "routing" and enabling ICS on the PC's internet connection makes the PC act as a basic router.
An ICS "host" could have two network adapters bridged so that the "bridge" has the IP address 192.168.0.1 and these two adapters could then provide internet access to two "client" devices, but I still don't see how a network bridge is going to do what you want.
...someone else may have an answer.
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