Okay, actual experience here. Installed panels, drilled holes, run wires, done it all. Run my system off the conventional wiring, then ran my own dedicated line, upgraded that with a transformer, built my own- well you get it. I know what I'm talking about.
The 3 circuits you are planning are almost guaranteed to be a waste of time and money and even worse than that create more hum. Electricity always seeks the least resistance. The subs and all the rest of your system are all connected together. If it all has one ground on one circuit no problem. Using three there will be three paths to ground which almost guarantees hum.
One mistake often made is to take the wattage or amperage of each component and add them all up and assume that is how much power you need the circuit to handle. But almost never do any of them draw full power. And even less often do they draw it all at once. People think of playing full volume. When in fact the greatest power draw is usually right when first turned on. That is when the component power supply is empty and so that is when it draws full power for a second or two as the caps charge. So worst case is not blasting full power music. Worst case is having everything turned on and plugged into one switch and then you flip the switch. Even then worst that happens it trips a breaker.
Hope I made the point. You will get by just fine with one circuit. One 20A for sure. According to the interweb Argentina uses 220-240V so using a 20A with 240V is equivalent to a 40A with the 120V we have here in the States. My whole system runs on the equivalent of one 15A circuit so for sure you will be okay with 20A. 10A even should do you fine.
Whatever you decide, use whatever gauge wire and breaker Argentina code says is required for that load.
Ideally you would run the one circuit to your system, connect a power conditioner, and plug everything into the conditioner.
The extra dedicated earth ground may or may not help. My system uses one but it also uses a step-down transformer so its a special case. Before that when it was on a dedicated circuit, everything the same except the transformer, I used it both ways- common house ground and dedicated system ground. Never did notice the ground made any difference. It has however been reported to cause problems for some people. If it was me I would not go to the trouble unless there were ground/noise problems. Even then I would do my best to eliminate all other causes first.
So run just one circuit for your system. Then run another circuit for everything else in the room- lights, outlets, etc. As long as you are careful to make sure nothing connected to your system gets plugged into any of those outlets you should be fine.