One side will concede in a war if there are no gains to be had, and conceding will stem the losses. So at a minimum, the side that wants a victorious peace has to credibly promise not to kill the women and children of the other side. At the moment, Israel is unable to credibly promise that, and it's difficult to see how in the short term it can generate any such credibility. So external parties such as the US need to form part of the commitment mechanism. Under both Biden and Trump, the US has neglected it's responsibility to do that.
*Apart from implying that civilian Gazans are responsible for the hostages