I haven’t experienced this because I haven’t done an extended fast like that, but when your body is at rest, it’s trying to conserve energy because it’s not getting any/much. That’s why your extremities feel cold - they’re literally not getting the same circulation. I don’t think any vitamins will fix this.
I’m glad that you’re feeling great and congrats on the weightloss, but please be careful! Messing with your body’s circulation is no joke.
I get cold extremities too. Think this is a common symptom when extended fasting. There are no reputable journal articles that I could find that pinpoints the cause but it’s common enough that I’m not too worried about it.
I’m surprised it took you five days to feel this - I sometimes get it on day 1 of a ‘pure(ish)’ fast i.e. no calories at all beyond the trace amounts in black coffee.
Only real solution is warming yourself up through hot drinks, warm clothes and heating the house.
Alternatively, I didn’t have the issue when I was trying a fat fast (by which I mean actually fat only - I used light olive oil). I got similar results to a proper fast with a lot less discomfort, but I know it’s not always a popular option.