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B first and R third covers 130 words, and unusually for a group this size the second box is dominated by just two vowels.
A fills the second box in roughly thirty two percent of these and U in twenty four, so between them they account for more than half the group. O and E split most of what remains.
Those two are a useful pair because they share the R in the third box and nothing else. Whichever one lands tells you which half of the group you are in.
Both also use letters that stay informative in the last two boxes, so even a complete miss narrows the field rather than wasting the turn.
The B first and G third group is worth a look next if this one runs dry, since both lean on the same handful of vowels in the second box and the two lists sit close together.
No. BRAVE puts R in the second box and A in the third. This pattern needs the R one place further along, which is why BARON fits and BRAVE does not.
BIRTH, BIRDS and BIRCH all sit in the I branch, which is smaller than A or U but holds several familiar words. Small branch, high recognisability.
BERRY and FERRY style shapes exist, though in this pattern the first letter must be B, so BERRY qualifies and FERRY does not.