YouTube videos + restricted mode

We have enabled YouTube restricted mode through DNS override records. Provided a user logs in to YouTube with a Google Workspace account, they are still able to view manually approved videos. This system generally works pretty well.

One challenge we've run into is that the user's YouTube session is not shared with embedded video players in Brightspace. This results in the user seeing the video blocked by restricted mode, and there is no easy way for the user to navigate to the video on YouTube.

Without disabling restricted mode, is there a way I could get content-restricted embedded videos working? Linking to YouTube directly in the course content could also work, but this is likely to result in a bunch of busywork for course maintainers.

Any suggestions would be helpful. Thanks!