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Only seventeen words put A first and N third, and more than a third of them double the N. That makes this a small pattern with one obvious shape inside it.
N takes the second box in six of the seventeen, which is thirty five percent. ANNEX, ANNOY and ANNUL are the ones you would actually use, and all three repeat the N before anything else happens.
ANNAL, ANNAS and ANNAT differ only in the last box, so guessing two of them in a row tells you almost nothing new.
E in the fourth box covers seven words, forty one percent of the pattern, which is the strongest single signal here. If the fourth letter is not E you are down to a handful.
ACNES, AUNTS and APNEA step outside the ANN shape entirely, and so does AWNED.
Ten different letters finish these words and none takes more than three. The last box is where this pattern stays open longest, so it is the wrong place to spend an early guess.
It is the most common word in the group and it tests the doubled N at the same time. If it comes back empty you have ruled out a third of the pattern in one turn.
Yes. It runs A, P, N, E, A, so the A is first and the N is third. The P in the second box is the only one in the whole group.
A in the first box and N in the third is an awkward frame. English mostly reaches it through the ANN doubling or a short consonant cluster, and neither produces many words.