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Forty two words put P first and E third, and twelve of them repeat a letter. Most of that comes from one branch.
R takes the second box in twelve of the forty two, twenty nine percent, and E takes eight. I and L take seven each, and nothing else reaches more than three. Every word in the E branch carries a doubled E automatically, which explains the repeat count.
PREEN, PIECE, PLEAD and POEMS each come from a different opening and each is ordinary. Guessing one from each covers far more ground than several words from PRE would.
PIETY and PEEVE are the next most reachable. Past those the page turns into entries like PHENE, PREVE and PRESA that nobody would produce.
PAEAN, PAEON and PSEUD put something unusual in the second box and none of them follows a consonant blend. PSEUD in particular is the only entry here with S there, so it either wins or clears a branch outright.
S closes fourteen of the forty two, thirty three percent, with Y and E on six each. The fourth box is wide open, spreading across nineteen different letters, so leave it alone and work the ends.
Yes. It is common, it tests the I branch and it avoids the doubled E that half the page carries.
A depiction of Mary holding the body of Christ. It sits beside PIETY in the I branch and differs only in the last box.
The PEE branch does it. Once a word starts PE and needs E in the third box, the doubled E follows automatically across all eight of them.