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4 letter words:

meme8, memo8, mome8, ogee5,

3 letter words:

mem7, mom7, gem6, meg6, mog6, eme5, emo5, mee5, moe5, ego4, gee4, geo4, goe4,

2 letter words:

mm6, em4, me4, mo4, om4, go3, ee2, oe2,