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Thirteen words put T first and K third, and sixty nine percent of them take E in the fourth box.
A and O tie at four words each and I takes three. Y and S manage one apiece. With thirteen words in total, each branch is only a handful.
TAKEN, TAKER and TAKES are the everyday entries, and TAKIN, a goat antelope, is the one that catches people out.
They differ only in the last box, so landing on TAK confirms three letters and leaves the real question untouched. The same is true of TOKED, TOKEN and TOKES one vowel over.
TIKES, TYKES and TIKIS carry the I branch, and TOKAY and TSKED are the outliers. TSKED is the only entry with S in the second box, which makes it worth remembering even though nobody would guess it.
E fills the fourth box in nine of the thirteen, so testing that box is close to wasted. S closes five words and N another three.
So the practical route is to settle the second box, assume the E, and let the last letter decide. Only one word here repeats a letter, TIKKA, so a visible double ends the page at once.
Both are common and they differ only in the second box. Whichever vowel your puzzle confirms settles it immediately.
A goat antelope. It is the one TAK word that does not follow the E in the fourth box, which makes it easy to miss.
Word game dictionaries list it as the past tense of tsk. It runs T, S, K, E, D and is the only vowelless opening here.