Israel has ordered civilians to leave northern gaza: https://www.bbc.com/news/articles/c299pl8j8w7o

Most of the combat is happening there as well.

Israel is operating three food distribution centers in the southern part of the strip but only one in the north.

"The IDF has been directing civilians towards the “expanded humanitarian area” in al-Mawasi, a narrow coastal strip of agricultural land that was first designated as a “humanitarian zone” in October.

The expanded zone now measures 60 sq km.

The IDF said the area includes “field hospitals, tents and increased amounts of food, water, medication and additional supplies”.

A satellite image captured on 8 May shows what appears to be a new field hospital which has been constructed in Deir al-Balah."

Clearly life in the "humanitarian zone" sucks. But a lot less than in northern Gaza. Despite the often repeated mantra that "nowhere is safe in Gaza" that designated humanitarian zone is significantly safer (and there's data that shows that).

The IDF is not laying siege to the entire strip. It's not even laying siege to Northern Gaza. It's air dropping food in northern Gaza (following pressure - but still). There are three food distribution centers in southern Gaza (and I think they've also seen less violence but I'm not sure). In the south there are armed Palestinian factions that are collaborating with Israel.

Anyways, I'm appointing you to the general in charge of the war from the Israeli side. Your goal is to return the hostage and defeat Hamas. I'm interested in what your plan looks like.