If you buy a Godox X2T_ flash transmitter to fire the Godox light, it has a pass thru hot shoe on top of it. You can then stack your Profoto transmitter on top of of the X2T_ and control and fire both brands. I did this back when doing experiments with Godox to see if I wanted to change all of my old flash equipment over to Godox. I could use both brands at the same time. It proved to me that Godox lights and controls were far more reliable than my old lights and control system, and I began buying Godox lights and transmitters as fast as my budget would allow to replace everything that I had been using. This was about 4 years ago and I haven't looked back. Both my studio and field kit are 100% Godox/Flashpoint now. (Flashpoint is rebranded Godox, sold by Adorama in NYC.) I think there is a rebrand available in your country too, but I don't know the name.
Charley