Bridge mode? Pull Wifi network down to one RJ45 cable?

The T3200M doesn't work that way. Bridging is simply allowing Port 1 to bypass the router part of the T3200M and pull an IP from the internet whether that's from DSL or from the WAN connection (ie. fibre). It is isolated from the existing network so 192.168.1.254 won't work on Port 1 while bridged.

You need a specific device that is capable of acting as a wireless access point that can connect to an existing network. Some modern travel routers still have that capability. You can also find a bunch of wireless extenders that have that same ability. I have a smaller travel router and I find the wifi speed to be pretty low when I connect it to an existing wifi network. You'd probably want something with a stronger antenna / signal. Your mileage may vary depending on how far away it will be located from your existing router and the speeds and signal strength it's capable of.