Both sides are spreading propaganda about the conflict. Hamas and Hamas benefactors are just as deceitful and propagandistic, the only difference is that Israel holds the bigger gun
You are right that both sides are spreading propaganda.
The key difference, however, is that Western governments and Western (mainstream) media are not spreading Hamas's propaganda nor obfuscating Hamas's war crimes the way that have done for Israel.
But the Biden and Trump Administrations repeatedly lied to the American people about what has been the key block to a deal (Netanyahu trying to avoid prison, the far right genocidal members of Netanyahu's cabinet, etc.)
How many Americans even know that around a year back members of the Israeli military (or maybe prison guards, I dont remember) were actually raping Palestinian prisoners? Members of my own family who are news junkies dont know that, because western media (mainstream) media wasn't reporting on it. The rest of the world knows all this, that is why they are so outraged.
We are being lied to in the name of a government that has been expressing genocidal intent (explicitly) since October 7, and our tax dollars are funding the genocide while our diplomatic capital is being expended to protect such country while the rest of the world becomes more and more disgusted with us.