Cardboard box, do you put mulch over or under

Hello Everyone,
I gardened for the 1st time today and was truly humbled.
It too me approximately 3 hours to clear the area under the cardboard -
in the foreground you can see that the weeds aren’t exactly densely covering the ground.
The soil is most definitely clay. Claggy, actual clay - it’s not until you actually work with it that I felt the putty like texture
I have a couple of questions please apologies will be very basic:
1) I saw a video where someone just raked the little weedlings I have away with a rake. Is the reason I couldn’t do this because the clay clings to the weeds or was I doing it wrong?
2) I Have been taking out those weeds with the massive root - is it worth doing it properly or could I just cover them over with cardboard?
3) I reckon I’m going to weed and clear out the back part of my garden and cover it over until next year most likely or winter. The earth feels rich but it’s clay! I will save some money and get compost - do I put this over the cardboard or under? Will I need to turn the compost into the soil then cover?
4) when I turn over the soil should I not walk on it ever? Will it make the clay denser?
Thanks so much for reading, a dandelion will never look the same to me again.
Ax
I gardened for the 1st time today and was truly humbled.
It too me approximately 3 hours to clear the area under the cardboard -

The soil is most definitely clay. Claggy, actual clay - it’s not until you actually work with it that I felt the putty like texture

I have a couple of questions please apologies will be very basic:
1) I saw a video where someone just raked the little weedlings I have away with a rake. Is the reason I couldn’t do this because the clay clings to the weeds or was I doing it wrong?
2) I Have been taking out those weeds with the massive root - is it worth doing it properly or could I just cover them over with cardboard?
3) I reckon I’m going to weed and clear out the back part of my garden and cover it over until next year most likely or winter. The earth feels rich but it’s clay! I will save some money and get compost - do I put this over the cardboard or under? Will I need to turn the compost into the soil then cover?
4) when I turn over the soil should I not walk on it ever? Will it make the clay denser?
Thanks so much for reading, a dandelion will never look the same to me again.
Ax
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Posts
"To clear a growing area of weeds, here's how:
The aim here is to exclude the light so weeds can't grow. So you need a combination of a sheet covering and a thick, deep layer of mulch. For the sheet covering, you can use layers of cardboard (which will degrade into the soil), or a thick membrane such as Mypex. Many prefer not to use plastic, and we advise to be wary of carpet as some dyes and mothproofing chemicals can be toxic. The deep layer of mulch can be half rotted compost, manure, leaves, grass mowings – or even a mix of them all, so long as it is more than 15 cms thick. There are two schools of thought whether the mulch goes under or over the sheeting. If under, then it will rot down and create a wonderful, friable soil texture which is not only rich but allows weed roots, such as bindweed, to be pulled out easily. If it is over the sheet, it has the benefit of keeping the sheeting in place. Both methods will make sure that absolutely no light can penetrate down into the soil. Be patient! It can take up to a year to completely weaken the weeds, especially those with deep and extensive roots like bindweed, dock and bramble. When it's ready and weed free, remove the sheet and the soil will be ready for planting."
For further information on the No Dig process visit
<a href="http://www.charlesdowding.co.uk/">http://www.charlesdowding.co.uk/</a><br>
I think what was confusing me was That I was reading about mulch/compost on top of the cardboard. I didn’t know how it could improve the soil because the earthworms wouldn’t be able to reach it.
Also how would you then stop the mulch getting full of weeds
I will put it under the cardboard the cardboard as soon as I have a the opportunity, hopefully this will mean by the time I get round to using it there will be some improvement.
Ax