Israel's ideal outcome with gaza is for egypt to take it and all the gazans. They do not care about controlling the region, they just want the gazans gone.
> they want the people that it's there now gone, and the control of that territory
Israel's actions so far have shown it doesn't want Gaza controlled by Hamas. Some elements want to annex it. But it seems they've been quelled given Netanyahu's agreement to Trump's 20-point plan, which does not grant Israel control.
