Actually I had a light bulb moment and found a solution that works quite well! for anyone having a similar issue:
1 - Create a Virtual Switch with the same name
2 - Install Switch Bindings app using HPM and created a binding between the Qubino 1D Relay and the Virtual Relay. (Tried with the built-in mirror app first but that one seems to be unidirectional, switch bindings works beautifully)
3 - Added the Virtual Switch to Google Home.
4 - Profit!