There's a difference between 'no dig' and 'permaculture'. I looked into permaculture a few years ago, but I felt it was good at growing things you don't eat much of, but not good for the staples such as potatoes and other mainstream veg. In permaculture (please correct me someone if I've got this wrong), land is planted up with several layers - top story trees such as fruit trees, nut trees; next shrubby layer with plants such as raspberries, Jerusalem artichokes; Then a lower story with things like rhubarb, perennial kale, strawberries, plus productive climbers to go up the trees. Some people seem to have some veg beds in the system too, but I think it's more that 'no dig' goes hand in hand with permaculture, but either can be used on its own.
I am now heading towards a no dig system, although at the moment I still have too many perennial weeds (which would be a problem in a permaculture system too).
We don't have raised beds, just paths between areas of planting, so we don't use boards or need a great depth of added soil - we are lucky to live on good volcanic soil. We try to keep weeds at bay by covering the planted areas with black, weed-suppressing fabric, but it does cost and doesn't last long (especially with two terriers which feel the need to check under every bit for rodents

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Where we do need extra soil for growing composts etc, we sieve clean soil from our molehills

We have plenty of those. We also keep livestock so have plenty of manure, although we don't have a source of fallen leaves for leafmould. If you are buying in manure, be very careful that it is not contaminated with aminopyralid weedkiller, which is applied to pasture to kill dockens, thistles and so on, but persists in animal dung and even rotted manure from animals which have grazed treated pasture - it deforms and kills your crops, especially beans and tomatoes.