extract and run the dxsetup.exe, play your game.
This should be done on any clean install of Windows regardless of version as a lot of games don't install the necessary DirectX files and rely on the one(s) in Windows.
Not sure about any of the new cards that have TrueAudio, but any cards before them used a Realtek chip and driver. In fact it is/was recommended to use the driver directly from Realtek as it was more feature rich and actually provided the Realtek audio panel for settings, instead of the generic...
Blame Realtek for that as it is their chip and drivers that provide the HDMI audio. That and unless there is a newer version available to AMD (likely) from Realtek, the last HDMI driver released by Realtek (standalone download directly from them) is 3 years old.
That is the driver. It includes the Catalyst Control Centre as well as the drivers (GPU and HDMI audio). Just make sure to run a custom install and uncheck the gaming app (can csaue problems).
Also the download from Sapphire will be identical to any available straight from AMD.