0:53 maybe I misunderstood why you did wait here, but just in case: you don't need to actually kill all triggered sky poles. After retreating operator that is surrounded by fliers they just die instantly. You may notice that enemy counter shows them as defeated right after they attack.
thanks for the catch. I think that time I thought Jaye was dealing damage to the boss so I leave him there until it leaves his range then retreat. (same mistake also in 1:57 we could retreat Jaye after last sky pole hit him and deploy Istina and Leto after the boss walks past her designed tile)