If you were to use the new sparring scene as an intro for Anakin in an AOTC edit, it’d be cool to try and structure his arc so he eventually learns the lesson when facing dooku at the end, then imply he is knighted as a consequence.
If the end duel had Obi-Wan facing dooku alone, getting injured, then have Anakin show up, but let’s dooku go in favour of rescuing Obi-Wan after a successful duel (essentially replacing yoda in that scene) you could establish a sort of ‘lesson learned’. Like he could stop some falling rocks then lose an arm perhaps.
Just an idea anyway - I’m sure one of you will think of a better solution!
I think a point of that scene is that Anakin never took that lesson to heart. Within the context of Kenobi, Vader still sort of makes the same mistake.
And I think it still works within AOTC if he ends the movie failing to learn that lesson, since we see his growth when he doesn’t rush in to face Dooku again at the beginning of ROTS.