You would begin the bo7 when you begin the "bo2 twice, 3 stitches once..." directions because you're binding off on different sides. The bo2 twice, bo3 once, etc is done in the center (which I assume is the middle part of the hood) and the bo 7 st twice, etc is done on the outside edges.
In terms of which side you do the bindoffs on, you can only bind off stitches when you're at the beginning of a row, so you'll sometimes be binding off on the right side and sometimes on the wrong side.
Not sure if I helped or if I just made it more confusing! I often write out directions line by line when I'm in a situation like this one.