Admitting there's bias leads to where, exactly? Slowing down and taking stock? That's right out of the playbook of the Other Side. It's called Teaching the Controversy, they are winning, oceans are rising and people are dying.
You cannot bring openness and flexibility to a conversation with manipulative people. To them, it's just a weakness they can exploit. Perhaps we have forgotten why scientists had 'safe spaces' before and we are learning very slowly why that was.