Israel never set out to exterminate, Israel set out to get her hostages back - including babies under a year old.

You know who did set out to exterminate? Hamas, who in their very own charter state their intention to eradicate the Jews: https://avalon.law.yale.edu/20th_century/hamas.asp

I suggest reading this article which explains the propaganda campaigns that followed the October 7th attacks on Israel: https://www.adl.org/resources/article/hamas-its-own-words

Only one side is calling for genocide, and it is the Arab side - propaganda and disinformation campaigns aside.