I finished drilling my holes tonight. There are 975 holes total. 976 if you include the one I drilled in the wrong spot. It didn't really take that long, and I only broke 4 drill bits.
These holes mark the beginning and end of the lines I will pierce in the piece. The holes going across the middle of each section are where I will be making the folds. The holes look bigger in the picture because of the light shining through them, but they are all 0.7mm.