@koying @javicalle thanks for your suggestions! I move my whole config to our notebook and through it I could reached my Hue lamp from lot more closer (10cm 
). From that point I could reach the lamp with successful connection. After it controlling the lamp from HASS was perfect without any problem.
What is totally interesting for me that after connect the lamp to the Bitronvideo gateway I could connect the Hue Dimmer also. I could not use it as I’m not yet know how could I use that sensor (if there is possibility for it in theory) but I successfully connected and saw that from HASS also. The configuration of that will be the next step when I get a repeater or move my whole config into the planned final RPi 4 (with SSD) what final position should be lot more closer to the lamp as the current PC.
Thanks again for your answers! Seems that the Bitronvideo gateway recognized the 2 Hue devices just need to find in the future out how could I use the Dimmer in HASS