Hi. Sorry to hear about your journey. I think a 690 is solid, just below the 700 barrier.
At the same time, all applicants are more than just their scores and it’s the story that matters. If you they don’t have anything else to address in the optional essay, I would absolutely use it.
You can address your conundrum and mentioned that EA 162 is equivalent of a certain person tile which then is equivalent of a certain GMAT score. It’s a stretch but it gives an additional data point and demonstrates that you are committed as well as potentially informs them about the fact that she would be applying to some other programs that do accept EA with a stronger score. (We have a personal tile chart somewhere for EA, and I can’t remember what 162 is but I think it’s close to 99th percentile?). Unfortunately there is no official GMAC percentile table.
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