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A first and G third covers 54 words, and one three letter opening carries a large share of them.
R leads the box between at about twenty six percent, N at twenty two, L at seventeen and a second G at nine.
ANGEL, ANGLE, ANGRY, ANGER and ANGST all share their first three letters. That is most of the N branch in a single family, and they separate only across the last two boxes.
ARGUE and ARGON take the R branch and ALGAE the L. None of them behave like the ANG family, so they are worth testing as soon as it has been ruled out.
The two use exactly the same five letters with the last two swapped. If one misses on position alone, the other is your answer without any further work.
No. AGREE puts G in the second box and R in the third. It is the word people most often expect to find here, since both letters are present.
ANGER or ANGRY. Both use common letters in the last two boxes, so whichever misses still narrows the family considerably.
Yes, A first, E second, G third. It sits alone on a very small branch, which makes it a reasonable late guess when nothing else has worked.