Since discovering KDE, after having a love-hate relationship with Gnome, I decided to remove Gnome, but it broke Vivaldi syncing with gnome-keyring. Once I got KDE installed I lost printing/scanning and bluetooth. See below.
I returned to Gnome but bluetooth drivers still do not load.
The new install is lts, but wifi works fine, but not bt, even though they are on the same hardware, a Broadcom BCM43142A0 which was acquired by Lite-On.
I see the broadcom-bt-firmware-git in the AUR.
[michael@eos-22 ~]$ sudo dmesg | grep bt
[ 10.764472] usbcore: registered new interface driver btusb
Did you install the firmware package? It may see the hardware btusb but it needs the firmware to work.
You also have to have all the required bluetooth packages installed and enable and start the services. Then if bluetooth is running you can set it up to connect with something which can be a challenge in itself sometimes.
I don’t use bluetooth (except on Android!) but I saw something in Linux Magazine about Mint dropping one of the Bluetooth setups (Blueberry?) because of some new updates/incompatibilities. Might be worth a look at what they found if you’re on it…
If bluetooth is enabled and running then try to connect. It may require going through all the steps using bluetoothctl to start it, scan, pair, connect, trust etc etc.