I’m not a user of quodlibet (I use either audacious or clementine, depending), but if I understand the documentation at https://quodlibet.readthedocs.io/en/latest/index.html right, then the great strength of this player is that it can be controlled and configured from the command line. So I would try quodlibet --repeat=off --repeat-type=off (options found in the man-page for quodlibet at the site).
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