PS3 controller via Bluetooth?

Hi guys

I am running Manjaro Linux (based off Arch) and I can get the PS3 controller to pair but if I plug in the receiver for my Steam Controller, I can no longer use my PS3 controller. Does anyone know if it is possible to use both and if not, is there a way to use the Steam controller to play GTA Vice City, Tomb Raider Anniversary and other games via Steam Wine?