I guess it's unclear to me: What is the straight-forward way to get to the trait number (43?) that gets you the achievement, mount, pet (if any), flying, love and respect of your peers, discounts at department stores, etc.?
For flying, complete Legion Pathfinder part 2. It can take as little as a couple of weeks. I don't think there's any relationship to your artifact.
For the mount, I believe you complete the campaign (takes a minimum of 11 weeks due to gating) and then do a class-specific quest. Again, I don't think there's any relationship to your artifact.
For Power Ascended, I believe it turns out you need 52 traits. I know I said 43 previously; that was based on a faulty assumption from a previous iteration of the wowhead PTR artifact calculator.
So, the shorter-term slow answer is: keep researching artifact knowledge and acquiring AP the regular way (on Yungi or Winston or whatever) until you get to 52 traits. You should get there somewhere around the end of June. The order you spend the points in won't affect when you're done, but I'm sure guides will tell you someone's idea of the optimal path.
The longer-term fast answer is: once you have AK 50 on one character, buy an AK 45 tome for an alt and then get the last five ranks the slow way (this will take a couple of weeks). Then do the equivalent of about 20 green AP world quests to earn 2.2 billion AP. Spend them in any order you want in order to get 52 traits.