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5 letter words:

magot8,

4 letter words:

ogam7, atom6, moat6, goat5, toga5,

3 letter words:

gam6, mag6, mog6, mat5, moa5, mot5, tam5, tom5, ago4, gat4, goa4, got4, tag4, tog4, oat3, tao3,

2 letter words:

am4, ma4, mo4, om4, ag3, go3, at2, ta2, to2,