In a broader sense, I don't fault you for looking at war and thinking, or rather hoping, that in a just world, this wouldn't be the solution to any problem.
It is unsettled whether or not humanity can create such a just world, but we certainly haven't done it yet. Requiring the unconditional surrender of Hamas through force is very much a reasonable and acceptable way forward.
so at least the list is obviously > 0. That's a good starting point for you to reconsider where else you've made a mistake.