There is lots of room for confusion here, even in the names used for the devices, so welcome to a club with many others! To start with, recognize that an "ARGB Fan" is really two devices in one unit. It has a FAN motor to blow air, and a LIGHT set mounted in the frame. Both are powered and controlled separately, so it has TWO cables from it. In the case of that Cooler Master system, it has two fans on a radiator plus the pump unit that mounts on the CPU; that pump also has TWO cables from it - one for the pump motor just like one for a fan motor, and another for the lights in the pump.
FANS come in two dominant types now. The older design is called 3-pin because it has three wires from the motor ending in a female connector with 3 holes. It is about 10mm wide and has two ridges running down one side so that it can plug into a mobo male header (with pins) only one way. These are also called Voltage Control Fans because their speed is controlled by altering the voltage supplied to it by the mobo header. The newer design uses a very similar connector just a bit wider with FOUR holes, and it's called a 4-pin fan or a PWM Fan, and its speed is controlled differently. The new designs took care to make the two types a little compatible, so you can plug either fan into either 3- or 4-pin male mobo headers; hence, modern mobos use only 4-pin headers, but they offer options in the header configuration settings in BIOS Setup for which method the header uses to control fan speed.
Multi-coloured LIGHTS now come also in two dominant types. The plain RGB type can produce lots of colours and change them around, but at any one moment the entire light strip is all one colour. These use a 4-hole female connector wider than a fan connector, and it goes to a mobo plain RGB header, NOT like a fan header. The power supplied on this system is 12 VDC. Then the more complex style that can do fancy rainbow displays, called Addressable RGB or ADDR RGB or ARGB or Digital RGB uses a 3-hole female connector that looks like it had 4 holes, but one is blocked off. It goes to a matching male connector on the mobo that supplies power at 5 VDC and a different type of display control system. So, it is common to label the LIGHTING systems a 4-pin (plain RGB, 12 VDC) and 3-pin (ARGB 5 VDC). Since the power supply lines and the methods of display control of these two systems are so different, you can NOT mix the two in one circuit.
See! There are 3-pin and 4-pin FANS, and 3-pin and 4-pin LIGHTS, and they are NOT related in any way!
Now to narrow down to your specific situation. You say clearly (and the web page backs you up) that the fans in the case are of the 3-pin ARGB type for the LIGHTS in them. You also say your CPU cooler will be one with ARGB lighting in it, but I could not find that model on the Cooler Master website. So for each of the fans, examine the two cables and sort out which is for the LIGHTS (it's called a (4-1) connector with space for 4 holes, but one blocked off). Then see that the other is for the fan MOTOR. Now you also say that the case includes a HUB at the back you think is for the ARGB lighting systems ONLY. But it MAY also be for the fan motors, using a set of fan ports different from the lighting ports. Can you tell if it has two DIFFERENT types or output ports?
Anyway, assuming it has at least ports for ARGB lighting, you can connect light cables from both the the two case fans and the CPU cooler system rad fans to that. It should also have a single input port and associated cable to connect to some control system for the light displays. Unfortunately I could not find an on-line manual for that case, so I can't be sure what that may be. Often they offer an option to connect the wire pair from the Reset Switch or a specially-marked button in the front of your case to that Hub (it may be pre-connected that way), and you use that as a way to set displays. Sometimes they also supply an added cable you can connect from a mobo ARGB header to an input port of the Hub so you can let the mobo's ARGB lighting system control the lghts instead of using a manual pushbutton.
Connecting the fan MOTORS is a different matter, whether they are 3-pin or 4-pin. And that is because your mobo will have TWO types of similar cooling system controls. There is always one designed for cooling the CPU, and it concentrates on the temperature inside the CPU chip as measured by a sensor there. Often the mobo has two headers working this way, to allow for systems like yours that include both a pump and some fans. There is a second set of headers designed for power and control of the case ventilation fans (front an back you have) guided by a different temperature sensor on the mobo. So you need to plug the two case fans into those SYS_FAN or CHA_FAN headers, but the pump and radiator fans will go to mobo CPU_FAN and the like.
To help us give you more detail, tell us exactly which mobo maker and model number you have so we can look up its details.