Biden did NOT coordinate the genocide
Anyone who believes this simply does not understand the relationship between the United States and Israel.
Israel is the single biggest recipient of US aid: https://www.cfr.org/article/us-aid-israel-four-charts
Biden continuously approved weapons shipments to Israel during the course of the genocide: https://apnews.com/article/us-israel-arms-gaza-ebe971ca8878ff430ce6458c04151585
Israel is what is known as a "Major non-NATO ally", this includes countries like Australia: https://en.wikipedia.org/wiki/Major_non-NATO_ally
Israel receives access to raw USA intelligence: https://www.theguardian.com/world/2013/sep/11/nsa-americans-personal-data-israel-documents
The USA admits that Israel targets civilians in the NSM-20 report that it is required to perform on countries the USA supplies weapons too: https://www.justsecurity.org/95584/nsm-20-report-israel-us/
The USA is joined at the hip with Israel, economically, militarily, and politically. It is unfair to categorize Israel as anything BUT a territory of the United States. The political form of Israel as a "independent state" is just a way for the USA to absolve itself of the crimes of Israel.
It is insult to the collective intelligence of the world to deny the direct link between Israel's genocidal project and the United States materiel support for it. Why does the USA cover for Israel's crimes in the UN? Why does the USA refuse to stop selling arms to Israel? Why does the USA state department lie about Israels obviously genocidal intent in Gaza?
These questions may seem difficult but the answer is obvious. The USA and Israel are coordinating the genocide of Palestinians through an elaborate dance of seemingly being "opposed" to each other at times while in actuality operating in lockstep.