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Forty eight words start with AN, and the third box is where they separate.
T takes the third box in ten of the forty eight, I in eight, G in seven and N in six. K and O take four each. No branch runs away with it, so the third box is worth a guess rather than an assumption.
ANGEL, ANGER, ANGLE, ANGRY and ANGST all come from one branch of seven words, and every one of them is ordinary. ANGLO and ANGAS fill it out, which makes this the densest concentration of useful words on the page.
ANKLE, ANVIL, ANNEX, ANNOY and ANODE are the reachable entries elsewhere. ANISE, ANIME and ANTIC follow, and past those the page turns into ANLAS, ANSAE, ANTAE and ANTRA.
E closes twelve of the forty eight, twenty five percent, and S takes ten. Between them they take twenty two of the page, so the last box is the cheapest thing to test.
A leads the fourth box on eleven words with L on eight. ANGEL and ANGLE remain the classic trap, the same five letters in a different order, and only the last two boxes separate them.
Neither on its own. They use the same letters and differ only in the order of the last two boxes, so guessing one leaves the other completely live.
Twelve, which is twenty five percent. ANKLE, ANGLE, ANODE and ANISE all land there.
A state of normlessness, more often written anomie. It sits among the less reachable entries here.