I would like to retrace at exactly what time I watched certain YouTube videos. As a background to why I want this information, I record my classes (I'm a professor) and then I later go back to track at what time I said what as a tool to revise my class presentation timing for next time based on the timing. I often play YouTube videos in class, which is recorded in my video. If I know exactly what time in real-time I watched the YouTube video, then that helps me calibrate my class recording to better know at exactly what time I presented what in class.
To tell the time I watched the YouTube videos, I know that I can view my YouTube watch history, but that only gives the sequence and the dates when I watched past videos, not the precise times. I also know that YouTube has a feature where I can see the total amount of time I have been watching videos (mainly to monitor if I'm on YouTube too much), but that does not break down what was watched and when; it only gives total viewing times.
So, how can I tell at exactly what time (and date) I watched a specific YouTube video? I'm sure Google logs this information (they couldn't calculate my total watch time without it), but how can I, as a regular user, have access to this information about my own viewing?