Islamic Jihad, a group separate from Hamas and not getting missiles from Iran, cobbles together their own home-made rocket made out of duck tape and twine and fires it at Israel. The rocket, unsurprisingly, falls apart and part of it falls on the parking lot of Gaza city hospital, killing about a dozen or so people. Hamas rushes to the scene and asks how many are dead. Gaza hospital says 500 - 12 from the missile and 488 from the … you know siege and food/medicine blockade.
Hamas knows that the IDF has targeted this hospital before and had no doubt that they would it again, and since the missile didn’t come from them, releases a press release saying the IDF bombed a hospital and 500 are dead. This makes President Abbas call off his meeting with Biden and throws a wrench in the peace process, just what Hamas wants.
The IDF initially just say “Hamas did it,” and if you disagree we’ve got this new law that jails reporters for saying bad stuff about Israel. Then they release a video footage of a different rocket barrage that has nothing to do with anything. Biden comes over and goes: “Come on, this isn’t the cold war, it’s the information age. We’ve got like 10 live web cams throughout Gaza city streaming, OSINT probably got it. If you didn’t do it, there ain’t any reason to lie about it.”
Of course, that is just what I got from Lemmy, so probably a mix of propaganda from both sides. Feel free to yell all the corrections in the world in the replies.