3 x 3 Anagram Philosophy: Further Research

After the TEA-EAT-ATE anagram box:

TEA
EAT
ATE

I thought the related POT (teapot) might work as well, with OPT and TOP other words from those letters, but doesn’t work three-ways; only working two-ways from any combination:

Starting with TOP and OPT leaves PTO at the end; it is an acronym for Please Turn Over, but not a word:

TOP
OPT
PTO

Starting with OPT and POT leaves TTO:

OPT
POT
TTO

Starting with POT and OPT also leaves TTO

POT
OPT
TTO

I guess a word with two vowels might be needed. Do you know any others that work?

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