There are a couple of moments in the video (1:31-1:41 and 2:52-3:03) where the camera focused on his embouchure. Based on such a close look, I can take an educated guess about which embouchure type Brookmeyer has.
He places the mouthpiece with more upper lip, which makes him a downstream player. His embouchure motion is a little harder to spot, simply because he doesn’t change registers very much in those two closeup shots. I saw some moments that look like he’s pulling down to ascend, but generally it looks like he pushes up to ascend and pulls down to descend. My guess is he’s a Very High Placement embouchure type.
Brookmeyer is an amazing musician, one of my favorites. He’s not just known for his trombone playing, he’s also a great pianist and one of the greatest jazz composer/arrangers of all time. Check this video out to hear what he has to say about his own composition, Island.
What do you think? Can you find another video of Brookmeyer that has a good look at his chops? Videos of another player’s chops you’re curious about?