Just stop taking any video you see at face value? People managed without videos before video cameras were available, and the written word was never reliable to start with. Maybe the future won’t be that different?
If yellow newspapers were able to push us to war despite us knowing that "the written word was never reliable to start with", what will be the impact of the combination of this technology and the internet used against a population that has been conditioned over generations to trust video.
You can go on Youtube to see charlatans peddle all sorts of convenient truths with no evidence.
You don't even need AI. The bug is in the human wetware.
I think the issue with trust is rooted elsewhere - in social relations, politics, and not in AI generated content.
Do you read the news at all? If you can't trust any of them, then why even bother?