Essentially, after sanding and leveling the finish as best as you can with progressively finer grits (320, 400, 600, 1200...etc) you used a motorized buffing wheel with 3 different grits of polishing compound to bring the hardened lacquer to a final smooth gloss.
Good lighting is essential at this step. You'll also be able to see now the area where you didn't quite level the finish as well, failed to remove bigger sand paper scratches, etc.
I didn't get too many pictures of this stage--I was a little preoccupied. It's been said in many other online posts that a buffing wheel is an extremely good guitar launcher, and they're not kidding. Although a firm grip is all that seems to be needed, I started to get comfortable holding it and then got close to the top cutout where the neck tenon fits in and the wheel "caught" that edge and nearly tore the guitar out of my hands--definitely a wake up call. Otherwise, the whole process was fairly straight forward and uneventful, except for the time when I guess I was collecting a whole bunch of static electricity from buffing, touched the base of the motor housing, and got a sweet static shock that more startled me than anything---that was the second time I almost had the guitar ripped from my hands.
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Next, on the fitting the next...