This is my diagram:
As you can see, the lead coming off the bat cable is 13, so the line coming off your new cable would be too small, at 12g(3m)......the 12g would not be big enough to carry the current for the 3 circuits if they ran at max current....
the diagram does show, B and G links being 14g and the C link being 16g.....so I would just get the cable without the lead and just use the three lengths of fusible links with an eyelet to attach to the solenoid.....make sure the 16g goes to the correct circuit....