That is why they imported kudzu in the first place... Be careful not to make a bigger problem.
Low light, fibrous root, likes clay, hmmm.
I am going to say shotgun approach. Plant everything you can afford that is suggested here plus a few cover crops with roots and see what sticks.
You will also need to fix the biology to get things to grow, so scatter some living
compost on top and spray compost tea whenever you can.
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