Xbox One Wireless Adapter for Windows from Microsoft compatible with Xbox Series X Controllers?

I wanted to know if you can use a Microsoft Xbox One Wireless Adapter for Windows with an Xbox Series X controller. Also, is the Xbox One Wireless Adapter for Windows the same as the Xbox Wireless Adapter for Windows 10?

Can you

However, the Bluetooth dongle works just as well again

Yes, it seems to work fine:

https://support.xbox.com/...ller-to-pc

No it is NOT possible. Not even close to as good as with the Usb dongle! I would NOT save the 20 euro but invest in something good.

By the way, I can even plug my headset into my controller. Then works wirelessly. ^^