In case it helps somebody, it sounds like the lick being taught at and before 10:47 is from A melodic minor and sounds a lot like a D Lydian b7 lick from another lesson (Thus, helping to solidify the link between the melodic minor on the i minor and the Lydian b7 on the IV.)
Tomo's consistency and stellar teaching method is on display because it leaves these little breadcrumbs to pick up on as I rewatch lessons again and again.
Btw, if this is not the correct analysis, somebody please comment.
Cool stuff. I haven't got to this lesson yet, but it looks good. I won't pretend I understand the full nature of your observation, but if the Lydian mode in any key is W W W H W W H, does that fit with what you are describing regarding the D Lydian b7 lick? The only note in the Lydian mode that's different than D Ionian is the G#, and both the F# and G# can be found in the A melodic minor. And the b7 brings the C (down from a C#) into the picture? I like thinking about how the notes interact with each other and I look forward to reaching the point where I understand music theory well enough to be able to adequately discuss this!
Wow, you really are following the lessons attentively! Tomo thanks you for that!