I know you are past this step but I wanted to go back and point out a newbie mistake that I see all the time that leads to incorrectly gapped EOS switches.

You cannot move the flipper assembly by the pawl or by the flipper bat when checking the EOS. The coil does not grab the pawl or the flipper bat, it grabs the plunger and you too must grab the plunger. The reason is there there is always some amount of play or slop in the plunger link where it connects to the plunger and some more play or slop in the link where it attaches to the pawl (even on new parts). When you move the flipper by the pawl or the bat you are eliminating this slop and are moving the pawl further than the coil actually will. So you might think the switch is opening as far as it is in your picture, in actuality it is not moving that far. And the more used the part, the more play and the more likely that the EOS might actually stay closed when the coil flips even though you made sure it had an open gap.