OK, we'll start by using the most recent revision of how these ports are named. All USB 3 ports now are called USB 3.2 Gen
n . Gen1 can move data at up to 5 Gb/s and works just fine with the older-style Type A connectors and cables, as long as they are USB3 and not the older USB2 cables. To help with that, the plastic insert in old USB2 Type A sockets and connectors is Black whereas the insert on USB 3.2 cables is Blue. Gen2 can move data up to 10 Gb/s and MAY or may not work at that speed if you use Type A sockets and connectors. You really should be using the newer Type C connectors and sockets for Gen2. Gen 2x2 can move data up to 20 Gb/s and you MUST use Type C connectors..
OP, aside from all the USB sockets on the back panel, the mobo has ONE USB 3.2 Gen1 header and that actually contains TWO USB 3.2 Gen1 ports. See your mobo manual on p. 1-2 and 1-3, item 10. Your CASE comes with FOUR USB 3.2 Gen1 Type A ports on the front panel, so I presume they have TWO cables that run down to plug into mobo headers. Yes, you CAN use one of those USB 3.2 Gen1 Header Splitters to convert the only mobo header into two so you can plug in BOTH of the case cables and get all four front panel Type A sockets to work. You should realize that this is like using a pair of external USB 3.2 Gen1 unpowered Hubs, so EACH of the actual two ports from the mobo header now will connect to two front panel sockets and these two will share the power available from a standard port (max 0.9 A total load) and will share the max data speed of 5 Gb/s. That is unlikely to ever limit your use of these four sockets unless you use certain high-load devices like Laptop Hard Drives. Those front panel Type A sockets are fully capable of delivering the 5 Gb/s max speed of Gen1.
Your mobo also has one USB 3.2 Gen2 header of a very different type called Type E. See manual p. 1-2 and 1-3, item 9. This header contains only ONE USB 3.2 port. In more recent mobos this header type is used for a Gen 2x2 port, but the mobo manual says this one is only Gen 2 at max 10 Gb/s. You are NOT likely to have anything that needs the 20 Gb/s speed of a real Gen 2x2. Your case has one Type C socket on the front said to be suited for Gen 2x2 on its web page, so I would assume that the cable coming down from it DOES end in a Type E plug to fit into that mobo header. That gives you one USB 3.2 Gen2 socket (Type C) on the front panel.
As an aside, on the REAR panel you mobo has four USB 3.2 Gen1 Type A sockets, and eight ports said to be USB 3.2 Gen2. BUT of these, seven are Type A sockets that may not quite give you the 10 Gb/s data speed. You MIGHT consider using some sort of connector adapter on those ports to convert a Type A to a Type C IF you really need that full speed. There IS one Type C port on the back for the last Gen2 port, and that should support the Gen2 speed fully.
Your mobo also has two headers for older USB2 ports (2 ports per header). See the manual p. 1-2 and 1-3, items 11. It does not have any USB2 ports on the back panel. I find these useful for older slower devices like keyboard, mouse, etc., so I got an adapter like this
https://www.amazon.com/Antrader-Adapter-Female-Motherboard-Extender/dp/B07FDRX3Q3/ref=sr_1_37?crid=1N1C8APTSJ8XB&dib=eyJ2IjoiMSJ9.NcbfiP15vZYFIiBR8ioBTj8zbGXb3UNtcDm0-czjJ9gsfgotP0Ozwi6eFzomaQJ9AMmOBJ8WTSOMKNvVAnjvlZuqtk-_OYIFEoPGEtykbRHewJUZz6R1lJ7dWqdOsAbFFLdwqEW8Xun_bwbCKenbf1hMEhtnw3PuEVHKu4iVlTvozlyrQ0zv5zFtXVa7NNjT.JvVTJvqUdL0-x4iJG7gi7nWz2uEntcEA_jgBo4IA8rI&dib_tag=se&keywords=usb2+panel&qid=1712988360&sprefix=usb+2+panel,aps,83&sr=8-37
That's a 2-pack and you need only one of them. It fits into a case rear PCIe slot that is not in use and has two cables. They each go to one of the mobo USB2 headers. That way you get four USB2 slower sockets on your case back.