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Thirty six words put L first and T third, and only vowels and Y ever open the second box.
A takes the second box in twelve of the thirty six, thirty three percent. I and O take seven each, U takes four, and E and Y take three apiece.
No consonant appears there at any point. That is a real narrowing if you know it, because it rules out most instinctive first guesses before you make them.
H fills the fourth box in eight of the thirty six, twenty two percent, which is extraordinarily high for that letter. LATCH, LATHE, LATHS, LETCH, LITHE, LOTAH and LYTHE all come from it.
E takes ten more. Between them those two letters cover most of the fourth box, so it is worth assuming rather than testing.
LATER, LATEX, LATHE and LATCH are the ordinary words in the largest branch, with LATEN and LATED behind them. LATER is the most common word on the whole page.
E and S tie for the last box at eight words each, with H on four. Only four words repeat a letter, so a visible double narrows the page sharply.
They differ only in the last box, so as a pair they waste a turn. LATER is more common, and LOTUS tests a different branch entirely.
Yes, both spellings appear on this list, along with MITRE and MITER on a neighbouring pattern. Confirm the fourth box before committing.
A fried potato pancake. It is one of the A branch entries and the only word here ending in KE.