Would my Logi G903(keyboard as well) work with it's adapter pluged into a ps2 to usb dongle which is pluged into the ps2 port on my wirdo motherboard?

[FATTOUSHNURGER]

As you can see I resently baught an old qm77 chipset itx motherboard. There is nothing special about the board itself. The point is that amoung its back I/O pannel there are only 4 usb 3.0 (or should I call it usb 3.2 Gen 1) and I don't want to wast them on mouse and keyboards. So I want to know whether modern wireless input devices like my G903 would work with the adapter in a dongle and the dongle in the ps2 port. There is CCP virus everywhere out there so I would like to know it for sure before I buy it to reduce my contact between me and my deliveryman. Thank you for reading.