It matters very little. It’s performative, trying to justify the conflict by framing it one way or another. The reality on the ground will remain the same no matter what the media calls it. Ultimately, it will be historians that name the war.
The combatants are Israel and Hamas. The location is Gaza. Conclude from that what you will as far the “proper” name for the conflict.
Pretty sure this would make things worse. The dome would block out the jet stream making any rain minimal, and, even if tinted, the dome might actually focus the sun’s energy on the city.
My only advice would be to have a back up plan. If you fail to plan, you plan to fail, and there’s no guarantee you won’t get an unpleasant surprise. You say you’ll use the toilet if you’re about to shit yourself, but what if you can’t make it and do end up shitting yourself because you put it off so long?