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You can if your union goes on strike between you getting your signing bonus and your start date. Striking is not the same as quitting in the eyes of the law.
Right now there is no agreement, so that is reflected in the bills they have received, if a future agreement is reached an updated bill can be issued.
Even stronger, if employees usually get an annual bonus but the year of the strike they don’t you might get bitten for retaliation.
Organized labor is coming for grad students.