I have an existing router Archer A6, which I used to use at my old home which was pretty sufficient for that home. We moved to a new home and I ordered a new Archer A9 without checking if its OneMesh compatible (I assumed since this is a bigger model compared to A6, this would have all those features by default). I wan to use both the routers with the same network. The incoming connection to my home is at the hall, where TV, firestick are present and I want the second router to be present in my work room where I have my laptop and work setup. On the box of A9 it is mentioned that it can be used as Access point mode. I have a couple of questions here,

1) Can I use both the routers to publish same SSID and our mobile devices can switch between the routers based on signal strength?
2) Which router should I be using in the TV room and the other one in Work room? (My internet connection comes to the TV room only, I have installed a RJ45 cable from my TV room to Work room. I'm confused because the one in TV room will act as a hub but I want better speeds in work room.)