Let's see if I can summarize this:
The battery load tests good.
Sitting voltage of battery is 13.4 volts when fully charged - perfect.
Battery voltage with engine running is ~ 12.5 - indicates no charging is taking place.
I'll bet it drops further if you turn on the lights or induce other loads.
The stator bench ohm tests within spec, no shorts, and is putting out sufficient voltage on each leg.
The regulator bench tests OK.
The next step is to take a voltage reading at the regulator Positive wire.
Should be the same as battery voltage when engine is not running.
If reading is not between 13.5V and 15V at 5000rpm, replace the regulator.
If voltage is above 13.5 at regulator, and not at battery, check the positive wire between the battery and regulator for breaks or bad connections. Check ground is clean and tight.
Assuming no voltage increase at the regulator ...
I've modified the original post here.
The regulator part number 2019 Z8 and earlier: 0800-177000-10000 $50-$70 (internet search)
The regulator part number 2020 U8 and earlier: 0800-177000-10000 $50-$70 (internet search)
The regulator part number 2020 Z8 and later : 0800-177000-20000 $300+ Yikes!
I don't know the difference between the two part numbers, or why the Uforce is different from the Zforce in 2020, but if the plugs are the same between the two the older version should work. I would buy from someone with easy return policy if you go the cheap route.