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Move Graded Go Problems vols 1 and 2 up to just after Second Book of Go. Move Counting Liberties down below Life and Death and Tesuji. Move Life and death and Tesuji up to just after second book of go and Graded go problems. You need basic skills before you can benefit from the Counting Liberties book. Most important at your level are life and Death and Tesuji, after Second Book. Second Book gives you concepts, Life and Death and Tesuji give you tools to realize the concepts in a game.
I used your suggestion of moving Graded Go Problems volumes 1 and 2 right under Second Book of Go. The rest of your advice made me think about the order, and I changed it to fit more with the Beginner Study Section, which I've already gone through. Thanks for the help.