Answered in the comments above. Just repeating here.
1) You can't any longer. It was deprecated, and the docs need to be updated.
2) Yes, the Cognitive Services content moderation services only support images and not videos. The features we built into Azure Media Services and Video Indexer were the only sources for video content moderation data. As noted, the AMS versions are being retired.
The docs from Cognitive Services are a bit out of date. I reached out to that team to try and take some of those docs down. It is referencing a feature that no longer exists in the AMS API. It was deprecated back in June of 2020 on the v2 version of the Azure Media Services API.
See here - https://learn.microsoft.com/en-us/azure/media-services/latest/media-processor-retirement-reference
Content Moderator June 1, 2020 Retired This media processor was replaced by Azure Video Analyzer for Media. Also, consider using Azure Media Services v3 API.
It's also a bit more confusing and complicated, because we had to also recently announce the 12-month retirement of the "Azure Video Analyzer" preset in the AMS v3 API this last September due to a change in our company-wide "Responsible AI" initiative. As part of that decision we are shutting down the feature in the v3 AMS API in 12 months and pointing customers to move over to Video Indexer as the main source for video analytics/AI.
So back to my recommendation to keep things the least confusing... your choice is to use the Video Indexer API today, or build a custom solution on Azure using open source frameworks.