It is done and solved, as suspected, it was the kernel version. I upgraded from 6.9.10 to 6.10.3-1, started sys-audio and then
sudo modprobe btusb
systemctl start bluetooth.service
Connect from sys-usb the device (MediTek Wireless)
And then, both bluetoothctl and blueman-manager started working. As I am writing this, my headseat is paired and connected to my sys-audio. Thanks for all the help.