It is not a binary choice. When people vote third party it shows politicians supporting Israel comes with political consequences.
Voting for Green is the best thing a voter can do. Even forgiving Democrats for being complicit in an entire year of Genocide would be questionable. But Democrats are not distancing themselves from the Genocide. They are literally saying they want to continue the Genocide and start a war with Iran too.
Democrats aren't going to magically do what you want if you reward them for bad behavior. Instead they will double down on bad behavior.
Life lasts longer than 4 years.
Your logic works assuming the world lasts 4 years.