That adapter let the Kinect work with the modern Xbox One S and Xbox One X models, as well as Windows PCs. Microsoft had officially discontinued manufacture of the Kinect sensor itself in the Fall
The Kinect for xbox one and the Kinect v2 is the same device, so yes to your second question. There's a lot of third party adapters that work pretty well and are usually pretty cheap, just make sure to check the reviews and compare a few. The oem adapter is a little harder to find and may cost a bit more.
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does kinect work with xbox one