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131 five letter words start with TE, and two consonants take nearly a third of the third box between them.
N leads at about sixteen percent and R at fifteen. A and L follow at eleven each, then M at eight.
TERMS, TEENS, TESTS, TEAMS and TEACH are the entries you are most likely to want, and they cover four different third letters.
TEENS, TEETH and TEENY put a second E straight after the first. If an E comes back in the third box, those three are most of what is left.
TEACH is the most useful opener. Its A, C and H reach three separate branches and none of its five letters repeats.
TERMS. TESTS repeats both its T and its S, so it tests only three distinct letters while TERMS tests five.
TELLS and TELLY among others. It is joint third at eleven percent but it holds fewer everyday words than the A branch does.
Not really. Its M and P shape appears in little else, which makes it a poor opener but a sensible late guess.