Assuming that this repo is well intentioned, this should have been a blog post on how to install bluez for your platform and use its proxy tool, with some shell one liners provided to make that easy. Not a curl | bash installer for something totally opaque, which turns out to be another project’s software basically renamed into this repo.
This is not the way. Also potentially a license or trademark/name issue.
Instead of fighting passthrough, this keeps the adapter on the Proxmox host, let's share it into the VM over the local network via BlueZ. 2 simple commands: run the installer on the host, run it again inside the VM pointing at the host's IP. The VM sees a normal Bluetooth adapter and pairs like usual. Both sides auto-reconnect on reboot.
Works for game controllers in a gaming VM, Home Assistant BLE sensors, headphones, anything that expects a normal adapter.
I would be happy to answer questions about the approach.