I suspect much of your dilemma is due to labels, and the USB new systems have changed enough to confuse us all.
As I understand the current labels, the USB2 system is unchanged, The USB3 system is now this way:
ALL USB3 systems are now versions of USB 3.2.
What was at first USB3 and then USB 3.0 became USB 3.1 Gen1, and NOW is USB 3.2 Gen1. That is the system that can do data transfers up to 5 Gb/s.
The newest and fastest (10 Gb/s) was at first called USB 3.1 Gen2, and NOW is USB 3.2 Gen2.
Then there is the very latest iteration called USB 3.2 Gen2x2 that can do 20 Gb/s.
Although USB 3.2 Gen2 can be done with either the USB3 version of a Type A connector and socket, it is preferred to use the newer Type C socket / connector which is more durable and better for high data rates. In addition, there is backwards compatibility: you CAN plug a USB 3.2 Gen1 system device (5 Gb/s) into either of those two types of sockets and it WILL work at 5 Gb/s. (You even can plug an older USB2 Type A connector into such a socket and it will work at the old slower speed.) So, if your devices to plug in are the USB 3.2 Gen 1 (formerly called USB 3.1 Gen 1, and earlier just USB 3), you can plug them into ANY USB 3.2 socket, regardless of the Gen variety. The only real restriction is if your device is the newest fastest USB 3.2 Gen 2 (10 Gb/s) variety - that does require a matching USB 3.2 Gen 2 socket IF you expect to achieve the 10 Gb/s data rate.
So, the rear panel of your mobo (see manual p. 2-12) has four USB 3.2 Gen1 sockets of the Type A variety, and these are what used to be called USB 3.0. It also has one USB 3.2 Gen 2 Type C socket if you need it for a new high-speed device. Those would appear to be what you are looking for.
On your case, the front panel has four Type A sockets labelled USB 3.0 in its manual, and the case has a cable from that to plug into a mobo header. In fact, those four are now called USB 3.2 Gen 1. The cable can plug into a mobo header on the front middle edge (see manual p. 1-12) labelled USB32G1_12. Then the front panel also has one type C socket labelled USB 3.1 Gen 2 in its manual, and that is now called USB 3.2 Gen 2. Its cable will have a very different connector on its end, and your mobo does NOT have one of those according to its manual. They are called a USB type E mobo socket. (My mobo has one, but my case does not have such a Type C socket and cable. However, I have found it hard to find a cable/Type C set to buy and fit into my case so I can actually use that header.) So I suggest that case front panel Type C socket may not be of any use to you, given the cable connector does not mate with any mobo socket. BUT the four USB 3.2 Gen 1 Type A sockets on the front ARE usable for what you want.