See, I'm not wrong about it, because you follow up with this:
Which is simply wrong.
You are trying to mix up two arguments, "Hamas started it" and "Hamas uses human shields". The second is a good argument, but it fails when they aren't human shields but just bystanders. For example, if a Hamas member is walking down the street, and gets hit along with other people who just happened to be there, not forced there by Hamas.
For these situations, you cannot use the human shield argument. The entire moral argument for the human shield argument is based on the intentionality of the bad person to use another to shield themselves. If it's simply just incidental, then no, that fails. Or you'd be blaming Ukraine for having a soldier walking around in Kiev when it gets bombed by Russia. Obviously, that's bullshit.
So let's get to the "Hamas started it" argument. Just because Hamas started it doesn't remove Israel's moral responsibility. It's simply a stupid fucking argument. If Israel nukes the entire Gaza Strip, that's monstrous, and they can't go "But Hamas Started it, so it's their fault". It doesn't apply in any number of different conflicts either. The US is morally responsible for the innocents that die as collateral when they drone a terrorist. The US is responsible for the dead of Hiroshima. So is Israel for the Palestinian dead.
Also, Israel takes credit for the dead. When they announce that they killed a high up terrorist, what do they say? They say "We killed so and so, a Hamas member who did X". If they want to take credit for killing the Hamas member, then they are taking credit for the action that killed the Hamas member. Thus they are taking credit for the action that killed the people around the Hamas member. The only change would be if the Hamas member put those people there, but as I said before, we are talking about the cases where the human shield argument doesn't apply. They are just incidentally there. So Israel is already taking responsibility for those deaths.
So yeah, as it turns out, you absolutely are applying loose rules to justify a position where whatever happens, you can sleep easy. But this is the bliss of purposeful ignorance. You are denying knowledge of good and evil, because you know you'd have to do some soul searching, and that doesn't sound fun. Grow up, and begin to hold more than one thought in your head at once.