Yes weeding involves graft, and if you can reduce that, so much the better.
I used cardboard last year at Homeacres to smother couch grass until its roots expired, adding more cardboard every two or three months, starting in February. I needed to use a trowel for removing invading couch shoots and roots from beds, which are now all clear of couch, as well as the paths.
So I would look to mulch for a year and be super diligent about removing every little blade and root you see poking out the sides, until the soil is clean. Mypex is possible but expensive and I would not leave it down long-term in paths, although some do, it’s up to you. Cardboard is free and rots in.