Hi Peter,
I'm assuming the the starter motor spins normally, so look carefully at the starter motor where the big wire to the alternator goes into the crimp. Bad crimps often have green copper oxide visible. Wiggle/Tug on the wire see if it is loose in the crimp. Take those two lugs off and wire brush or sand the lugs and the other copper hardware and reassemble with a little dielectric silicone or copper anti-seez.
The D+ wire has to be right, that gives feed back to the VR.
Just because it's a new alternator doesn't rule it out, with maybe some issue with the VR, brushes or a bad connector.
You don't want 13.5V either, 14.0V is normal charge volts for happy motoring.
Post bad with your results, Bill
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