A very unusual arrangement, so let me be sure I understand it all.
You have only four fans, two each on two radiators. There are no other case ventilation fans, so NO fans need to connect to that Hub.
You do have other lighting units, but they already are connected to and controlled by Corsair hardware and iCUE.
Although your mobo does not have any lighting headers, it happens you do have a real ARGB output header on your video card with what appears to be a standard (4-1) pin arrangement. It can control any lights attached to it by the software with the video card.
You have only ONE lighting unit left to be connected, and that is the ARGB strip on the distro plate, so you really need only ONE ARGB header to connect that to. However, the connector on the end of the wires from that light strip has FOUR holes, not three. So the challenge is to figure out how to connect that to the video card ARGB header. You do NOT need that Hub for anything!
First, look carefully at the four-hole connector from the light strip, and at the video card's ARGB port. Does it look like the hole spacing COULD fit onto those three pins, with one hole covering the missing pin space? If yes, then with your system OFF completely, try to fit that together just to check. Then disconnect. IF it will fit, then the remaining question is whether the hole pattern and pin pattern have the SAME functions. The lighting strip connector has no clear marking - only one hole has an arrow. But as I said, the lighting strip web page shows that the strip itself has markings on it all along for the +5V line, Digital Control Line, and Ground Line. So, can you see enough of the end of that strip where the cable is attached to tell which wires in that cable are connected to which lines on the strip? If you can, then trace those wires to the other end and the connector there. That can tell you what the labels on the connector SHOULD show if there were any.
If you can do that, then review what I said earlier:
Now, at a standard ARGB header - like the male output ports of your Hub - there is a (4-1) pin arrangement. That is, it has space for 4 pins with one pin missing. Of those, the pin on one end that is ALONE is the GROUND. The pin on the other END is the 5 VDC line. The pin next to that, SECOND from that end, is the Digital Control Line.
That should apply to the pins of the video card header. Do the functions of the holes that you have identified by tracing match what the pins of the video card's headers should be? If yes, then you will know which way to turn the strip's four-hole connector so you can match all three connections when you plug in. Put a mark on the connector and on the video card port cover to help you remember for next time, then plug in that way. Turn on the system, and load the video card's software, EVGA Precision X1. I expect that light strip will turn on as soon as that software is running, but you will need to use it to make a few adjustments. As long as the distro plate light strip does light up and respond to commands, you have it working properly.