Since the start of fighting with Gaza a single minister, Galit Distel-Atbaryan, resigned from the position. This will resolve to YES if until July 1st 2024 a minister will send an official resignation letter to the prime minister, and it will be announced in a verified minister account or in a major news publication. Note that if Netanayahu resigns it will resolve to NO as he is not technically a minister.
This will resolve to YES even if the minister returns to his position before the end of the poll.
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1.00I missed it, but Benny Gantz, Gadi Eisenkot and Hili Topper resigned from being ministers on June 9th, you can see the letters here: https://www.ynet.co.il/news/article/ryamldmrr
English coverage:
https://amp.cnn.com/cnn/2024/06/09/middleeast/benny-gantz-resignation-post-war-plan-gaza-intl-latam
Hope this leads to something (she is pretty shameless though)