This isn't necessary! Plenty of peoples have overcome cycles of revenge. There isn't something inherent to Israelis and Gazans that requires they metabolise past trauma into future violence.
Israel, the stronger entity, should've been the one to abstain first and attempt to understand and forgive, instead they kept building illegal settlements and driving more and more people out there homes. Israel made sure the embers stayed hot, and I can't think of any reason for that aside from hoping those hot embers produce a flame that justifies genocide and completely eradicating the Palestinian population.