To start the second side, put the machine needle back into the pivot point. You will have to pull the purple around so that it can be lined up with the white section. Some creative origami to the left, to get rid of the bulk helps, especially if you are PPing as the paper adds extra bulk.
Pull gently so that there aren't any creases towards the pivot, line up the two edges, and stitch as before, doing one or two back stitches again to strengthen the area where you snipped.
Starting the second side.
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The back, lies flat when stitched
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