More details? You mention A, B and C phase, the A phase neutral then later mention 12/4 and 12/3 going to other ABC switch locations. You need more conductors than that to other switch locations if you have switches in each of the three phases
If you have a "full boat" MWBC then the one neutral that goes with it is the one that can go to any switch location anywhere in this MWBC. If it is three separate two wire circuits then each neutral needs to accompany it's corresponding ungrounded conductor wherever it is needed/required. It would physically work to use one neutral conductor but is not a good practice and doesn't comply with code.
Keep in mind you don't necessarily need the grounded conductor at every switch location when there is multiple switches for the same lighting and each switch location is visible throughout the entire floor area of the space being illuminated. You do need the grounded conductor at one of the locations in that situation though, or if raceway wiring methods you must have enough space in raceway for pulling the grounded conductor if it is ever needed.