The originator of the petition should just organize a privately held graduation ceremony.
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It should be for the kids, not publicity for The Mooch. Everyone should boycott “her” graduation ego inflation event and, as you suggested, have a private ceremony. Ideally, the school administration should have the brass to ‘uninvite’ her, even if she invited herself, which I think has happened at least once for a college graduation. If they can’t do that, they should support the private ceremony idea .... provide the diplomas, etc.
Boycott the Mooch! Boycott the Mooch!