Caught MewTwo last night. Took 2 tries. First time I accidentally feinted it....doing the "hit/recover" dance....I had saved at the entrance so tried again....put out Aegis which MewTwo couldn't really hurt and settled in for a few rounds, idea being wear it down until it wastes rounds casting Barrier (maxed out) and then throwing Timers at it....only had 5 of them though, and after 5 tries still no luck so tossed a Dusk at it. Gotcha!
Put it in my party just to run out and play with it for a bit and encountered Zapdos the first time. Think I'll go after Zygarde next.