The government designation of A/I as a terrorist organization is https://www.state.gov/releases/office-of-the-spokesperson/20... and I have failed to notice anything about Israel, just your standard left-wing anarchy.
https://www.cbsnews.com/news/white-house-photo-minnesota-pro...
Do not trust the DHS or secretary Noem. They lie, routinely. Most government sites are now compromised and cannot be used as sources.
Then you linked to a state.gov document that lists numerous anti-Israel and pro-Palestine activist groups used as justification for a terrorist designation.
Did you even bother to read this document, or did you just CTRL+F "Israel" and miss all the times Palestine was mentioned?