OK, let's expand a bit more on lights first. There are two major types of RGB lighting systems dominating the market now, with a few that differ mainly on what kind of connector they use. The two types are INcompatible, so you cannot mix them on the same mobo header.
Plain RGB uses a 4-pin connector with a common 12 VDC power supply line and one separate Ground line for each of the three colours of LED's along the strip. All Red ones are on the same Ground line, all Green another, all Blue on the third. The controller manipulates each of the three Ground lines to make thousands of colours that it changes, but at any one moment the entire light string is one colour. The connectors all have a mark on one end identifying the +12 VDC contact, and you MUST match them up at every connection point.
Addressable RGB (aka ADDR RGB, ARGB, or Digital RGB) uses a 3-pin connector that looks a lot like the 4-pin one with one pin missing. It supplies common +5 VDC and Ground lines, and a digital Control Line. Along the strip, the three LED colours are organized into Nodes. Each Node contains one LED of each of the three colours plus the node's own control chip. That chip has its own individual address and it listens to the Control Line and does what it is told to do with its three LED's. So at any one moment, every Node in the string can be a different colour, and the displays can be more complex. Photos of these systems often show rainbow displays that the plain RGB system cannot do. Because both the voltage supplied and the method of display control are so different, these cannot be mixed with plain RGB on the same circuit.
To get these lights working you need a controller of the same type as the lights you buy. The controller is both the power source and the display control device. The simplest are what you saw with that AIO system - a box connected by cables to a PSU power source and to the light strings, with typically three manual buttons to set some of the display parameters. There is no software involved in this, and all control is by the buttons on a box connected by cable. Many third-part RGB systems (either strips or fans with lights or both) come with a variation on this: the control box you handle is battery-powered and uses radio signals to the actual controller inside your computer case, but it is still an all-manual control system. Then there are LOTS of mobos that have lighting headers built into them. Some come with none (as does the one you mentioned), some have one or two plain RGB headers, some have only one or two ADDR RGB headers, and some have both types. Mobo makers all have their own utilities they supply with the mobo with their brand names (e.g. MSI Mystic Light, ASUS Aura Sync, Gigabyte RGB Fusion, etc.) and these can power and control BOTH types of headers on their maker's mobos. So the NAME of the lighting utility does NOT tell you the TYPE of header on the mobo! When you go to match the lighting type you buy (4-pin 12 VDC plain, or 3-pin 5 VDC ADDR) to the mobo HEADER, you need to see the mobo's specs to be sure which header(s) it has. Control of the lights in these cases is entirely by the software tool to manipulate the mobo headers' signals. Then the fourth option is third-party lighting control boxes often sold with lights or lighted fans by their makers that use a different connection system from the manual boxes. These boxes connect to the PSU for power and to the lights, but also use up one USB2 header on the mobo. You are supplied with a software utility by the maker and must load and run that. It uses the USB2 link to communicate instructions to the controller box. These utilities also may integrate controls for fans and other devices made by the same supplier. Some of them use non-standard connectors for the lights they supply, so watch for that. And another feature of the third-party units (whether manually- or software-controlled) is they MAY have an option to accept input of signals from a mobo header and relay them on to their lights instead of using their own display controls.
Normally IF you get a mobo with either type of lighting header on board, you get one or maybe two such headers. So any more fans (or strips) than that, you must also get an RGB Splitter or ARGB Splitter to make more connections. The mobo manuals normally will tell you the max current each header can supply to the lights connected to the header. Then you need the specs for the light strip or fan about what is the max current consumed by the LIGHTS ONLY in the device. Many tell you this if you look closely, but some do not. So you are left to bet, but most light strips (or single fans) consume not more than 0.35 A for the lights only (excluding the fan motor which does NOT draw any current from the lighting header of the mobo.)
With that background, back to your most recent post. I said earlier you CAN make your original scheme work. You have as supplied three lighting devices and a manual controller box with a 3-output RGB Splitter. Then you are considering adding three case fans that also have PLAIN RGB lights in them (remember the ones you have are the plain RGB type) and wonder how to power and control these additional ones. I would guess (no specs available, I'm afraid) that the manual control box you have with the AIO system could supply them, too. To do that you would need an additional plain RGB Splitter with at least four outputs - three for the new fans, and a fourth to plug in the 3-output Splitter you already have with the AIO system. Here is an example of a two-pack of those
https://www.amazon.com/Splitter-Con...1&keywords=RGB+Splitter&qid=1604195117&sr=8-7
It has female connectors on all arms, and comes with four gender-changer adapters to convert its outputs to males.
Alternatively, you could buy a different mobo that has plain RGB headers on it, but you still will need at least one RGB Splitter to connect three case fans to one header plus the AIO lights to another header (using Splitter supplied), OR a 4-output Splitter if the mobo has only one plain RGB header. Your AIO system has wiring included that would allow you to feed the mobo header's signals to the lights so you do not have to use the manual buttons to change them.
In buying case fans, keep in mind that the only mobo SYS_FAN header on the board you mentioned first is a 4-pin type ONLY and you MUST buy 4-pin PWM fans to use with that. It cannot control the speed of 3-pin fans. If you are buying a different mobo, its case fan headers MAY have options to control either fan type.