That looks in great condition to the additional half plot I have just taken on!
Do you have access to rotted manure or compost? If so will it be enough to cover the plot to 4 inches? If so go with that. If not cover with a good layer of unprinted card or similar.
On my new plot I don’t have access to enough manure/ compost so I will cover with what I have and then I’m putting a membrane on top of the rest, which I will plant through for potatoes, cucumber and squash next year. By the time they come out I’m expecting the remaining weeds to be minimal and just need to keep on top of any that appear. I have already done this with my other plot and the weeding gets less each year.
Hope this helps?