This worked for me, though I changed Turns 1-4 to: Pass > Shield > Rip > Blood in the Water. Everything turns out the same, but it is just a hair faster by skipping an unnecessary animation.
It *is* disappointing that Stickers' RNG with the stun at the end of the fight determines if it works or not, but I recognize that some of these fights just play out that way in this xpac. Without the stun it works just fine.
I also tried the Blossoming Ancient version suggested by Devious and it worked, despite being stunned once by Breaker *and* Stickers. It takes a lot longer than the original strat here, but the Pandaren Spirit came into the fight with Stickers at a little over 800 hp, and Wild Winds until Stickers died.