@Ralf, I just realized that you made upgrade to PureOS Byzantium yet never removed Amber repo(s). Please remove those from your sources.list:
Check if your install of PureOS 10 is now back on track:
sudo apt update
sudo apt autoremove
sudo apt update
sudo apt full-upgrade
This would include removal of buster non-free (as above) repo, bullseye non-free stays unchanged … try now to install/add needed WiFi package(s).