I've been playing Azir recently and just sharing some tips for playing him
the nerfed azir feels like a melee ranged fighter that can harass from a distance the most reliable kill combo for me is w right behind enemy then e to them for the knock up + shield, then you can either ult > q or just q and finish them off with ignite, w > q > e also works if the opponent is too far for w range, but make sure you have another soldier ready in case they escape out of your first soldier range, this combo is a lot less secured tbh because summoning soldiers take a while and usually people escape out of its range without even a single hit.
as for build, I saw a lot of people saying how nashor's tooth is a noob trap, I don't think that's true at all, if you do the math, nashor is so gold efficient on azir it feels like a cheat, however I usually just rush stinger > boots > zhony (for survival and damage since you have to get into their face very often) then finish up my nashor and go for another 20% cdr item (morello, frozen heart, athen)
don't miss your e, that's pretty much the most important thing since it gives a knock up and a shield that last for decently long. a successful combo can easily do 400 damage at lv 3, however it cost so much mana just 1 combo can take more than half of your mp (that's honestly the biggest problem I have with Azir right now, not his nerf on soldier range, but both problems disappear in mid game)
btw if you happen to search my lolking or wtv, I'm just trying him out on my smurf, played at least 30 games so far, half against twisted treeline bots. now i'm finally having a blast with him after getting to know his unique play style, gl to anyone who also feel like taking up this challenge.