Yes, the WH YouTube did livestream. I have noticed that sometimes the recorded version does not post right away.
I believe this may have what you are wanting. Have not watched, but it starts before POTUS enters briefing
https://www.youtube.com/watch?v=PkbbxZw4bkE
This is briefing from yesterday. WH Youtube
Sorry, wrong date got copied. Here is correct one this time, I hope.