A/I is not a terrorist organization, and they only got branded as such when operatives started taking direct action in response to the Genocide that Israel is committing presently. The cited "terrorist" actions so far have been spray-painting military property with anti-genocide messages: Criminal vandalism, sure. But absolutely not terrorism!
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?