Hi,
You would have to be willing to install W7 to try it out. The HP connection manager will not run on W10.
Use the HP cloud recovery client to create W7 installation media...
This package provides the Cloud Recovery Client for supported models running a supported operating system. This Client Utility enables users to download the Recovery Kit from the cloud.
http://ftp.hp.com/pub/softpaq/sp85001-85500/sp85318.exe
I've attached the instructions below for how to use the utility.
If after you do the above and the BT still doesn't work, then I would concur with REO51ST, that the bluetooth portion of the wifi adapter is defective, and the wifi adapter will need to be replaced.