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126 five letter words begin with ME, and the third box leans on R and T more than anything else.
R leads at about seventeen percent and T at sixteen. L takes twelve, then N, A and S at ten each.
Six letters carry three quarters of the page between them, which is tighter than most two letter openings manage.
MEDIA, MEANS, METAL, METER and METRO are the most used entries, and four of the six busy branches are represented among them.
METAL, METER, METRO and METRE all share MET and then split, so confirming that T leaves only the last two boxes in play.
MEALS is the most informative opener. Its A, L and S cover three separate branches and none of its letters repeats.
Both are in the list as the American and British spellings of the same word. Which one a puzzle accepts depends on the word list behind it.
It is the most common entry, but its D and I sit on thin branches. MEANS or MEALS rules out more when it misses.
MERCY, MERIT, MERRY and MERGE among others. It is the largest branch and its words share little beyond those three letters.