Re:
It also depends on the wheels and type of single speed, whether screw on in place of a standard freewheel which I know little about or later wheel with freehub where there is more flexibility as to where the spacers are which is what I do on my MTB single speeds. I guess with 126mm rear it's probably screw on. My point is you have to look at the whole picture, I would say the first iteration does not need to be perfect. On a normal 12 speed you only have a "perfect" chain line in two gears, just make sure not too far off.
Coincidentally in the distant past I ran a fixed gear while living in Cambridge - it is a great place for a fixed as it is very flat ! I had a wheel built with a flip flop hub, screw on one side and fixed the other. Wheel's still going strong although the bearings are a bit rough. The line was reasonable with just a slightly shorter axle although can't remember the details - it was over 30 years agochinr
Oh, you can also get chainring bolts for single speed that are shorter and don't need spacers. Stronglight make them for sure as I have a set.