How can I play with an Xbox one controller on the PC and charge at the same time?

Can I charge with this game and at the same time? https://www.real.de/product/316250339/

Or how can I use an Xbox One controller via cable on the PC?

I have the Play and Charge Kit from Microsoft, I play wirelessly on the Xbox, I plug the cable into the PC and the battery is automatically charged. There's even an LED, if it is yellow it is charging, if it is white the battery is full

And you can play while it is charging?

Yes, of course, I always do this, I wanted the wireless adapter so that I don't have to plug the controller into the PC every time, but it is charged immediately with a cable. This is how you kill two birds with one stone

Xbox headsets also work fine