We already talked about it a little higher, but it is always good to remember it: nowadays, the operation of a gaming headset has been drastically simplified. On any machine, there will be a maximum of three solutions for connecting the headset:
On PC : wired directly to the jack port of your tower, via bluetooth or by plugging the wireless dongle into a USB port;
On Xbox One / Series S|X : wired to the jack port of the controller (except Xbox One first name) or via a wireless dongle to a USB port;
On PlayStation 4 / 5 : wired on the jack port of the controller, Bluetooth via the console settings or via a wireless dongle on a USB port;
On Nintendo Switch : via the console jack or via a USB Type-C dongle in portable mode; via the console jack with an extension cord or via a USB dongle on the dock when playing in TV mode.
There are also headsets that plug in via a USB cable directly, but this technology is increasingly being pushed aside . The principle of running a long cable between the console and the headset is no longer really relevant, except on Switch in dock mode if your headset is only wired. And again, it's really not practical, I tried. It feels like PS2 with a wired controller.