With AC the neutral wire carries as much amperage as the hot wire (the current goes back and forth). You cant hook up 3 hots to one neural and expect the neutral line to carry 3X the current. And how were you planning on wiring one neutral to three different breakers?
Were you planning on using just one 4 strand romex and using 3 as hots and one as neutral. I am pretty sure that would be against all codes in any country. You would be better off installing two outlets with the 4 strand cable with one hot and one neural to every breaker.(assuming that is allowed). Two 20 amp breakers should be more than enough for any sane system. You don’t need 60 amps with incorrect wiring.
Were you planning on using just one 4 strand romex and using 3 as hots and one as neutral. I am pretty sure that would be against all codes in any country. You would be better off installing two outlets with the 4 strand cable with one hot and one neural to every breaker.(assuming that is allowed). Two 20 amp breakers should be more than enough for any sane system. You don’t need 60 amps with incorrect wiring.