You may be caught up in the USB 3 system naming changes. Right now ALL of them are USB 3.2, but three Gen's of them.
USB 3.2 Gen1 is the original USB 3 that can transfer data up to 5 Gb/s and uses either the new USB3 version of a Type A or Type B connector, OR the newer Type C connector. The mobo header for these (two ports on one mobo header) is much bigger than the older USB2 header, and typically the cable that plugs into that has a large blue connector.
USB3.2 Gen2 is the faster version that can do data transfer up to 10 Gb/s. Although technically it can work with a Type A connector, it is recommended that you use a Type C connector to be sure of that speed. The mobo for this looks quite different and is called a Type E socket...