What are you saying? That without the oct 7. terrorist attacks Israel still has justification for the Gaza genocide? That there is no difference in supporting Hamas and supporting Palestinians?
There is nothing vague about any of these terms. I suspect you are not asking in good faith, but I will pretend otherwise.
The first is a crime against humanity, and includes the ongoing Gaza genocide conducted by Israel, as well as the Rohingya Genocide condected by Burma, the Cambodian Genocide conducted by the Khmer Rouge, etc.
The second is a people group of mostly Arabic speaking people who lived or are descended from people who lived in historic Palestine in what is now Israel and the Israeli occupied territories of the West Bank and Gaza.
The third is a political organization and a terrorist group which operates and is the single ruling party of the Israeli occupied territory of Gaza, who‘s primary political position is the liberation of Palestine.