How to get bluetooth working again?

I’ve multiple Xiaomi plant sensors which work with Bluetooth. Since 2022.8 the Bluetooth integrations has changed and I can’t get it running anymore. From the logs:

2022-12-08 20:11:40.667 WARNING (MainThread) [homeassistant.config_entries] Config entry 'hci0' for bluetooth integration not ready yet: Bluetooth adapter None with address 00:00:00:00:00:00 not found; Retrying in background
2022-12-08 20:12:15.677 DEBUG (MainThread) [bluetooth_adapters.dbus] DBus service not found; docker config may be missing `-v /run/dbus:/run/dbus:ro`: [Errno 2] No such file or directory
2022-12-08 20:12:15.679 DEBUG (MainThread) [bluetooth_adapters.dbus] DBus service not found; make sure the DBus socket is available: [Errno 2] No such file or directory
2022-12-08 20:12:19.038 WARNING (MainThread) [homeassistant.config_entries] Config entry 'hci0' for bluetooth integration not ready yet: Bluetooth adapter None with address 00:00:00:00:00:00 not found; Retrying in background

Got HASS Core running with Docker Compose with under volumes:

- /run/dbus:/run/dbus:ro

On the host system I’ve installed bluez, what else do I need to do? What can I check to debug this further? The host is Ubuntu 18.04. I’m not that familiar with dbus but /run/dbus should be a file right? Currently it’s a directory with a system_bus_socket file inside. Tips? Ideas? Suggestions?