The button looks to protrude about 1/64th of an inch from the groove it is in. The groove seems to a little less and than 1/64th of an inch. Pressing the button down to the outside of the groove did not trigger it. Keep in mind my tools are only marked down to 1/64th's so I might be wildly off. As for the screen, the first layer around which I think is metal is 46/32's of an inch and the layer below that with is plastic is closer to 46.5/32's. I only have 32's here so increase the size of the grain of salt you take these with.