From the looks of all that, it seems that your choice of what to do with Reign influences what strategy you're using to win loops. Temptation helps secure Aversion breaks, Aversion helps secure Negotiations, Negotiation helps trigger initial Rampancy and Despair snowballs itself. The other 2 seem more generic and helpful to most options at varying degrees. Rampancy in particular is worthless if you rely on a Rampancy Undead forsaken.Those do look really strong, but would limit how many of the +25% damage buffs you could get. That's an interesting tradeoff.
EDIT: The harmonic stuff worries me a bit, if I understand it right. It might be possible that you get stuck in a later loop, where the higher harmonic level means that you won't be able to get any new break on her at all, especially if you got all the easy breaks in earleir loops.
And based on how much easier a distortion path is to get than a total break for her, as well as limiting the number of Sovereign moves to deal with, my guess is you'll always want to pick a distortion path for her (and maybe transition to Megalomaniac if you want to later). At least, my presumption is that an active distortion path counts as having a total break for purposes of beating her.
It's interesting, as I can see it being better to go for a T3 break early (encounter 2 probably) as that would lead to easily breaking the associated T2. And presumably you could stack multiple T3 triggers and have those breaks happen together as the move itself causes the break and reset, right? My guess is the reset will also remove T3 triggers, for balance reasons, but won't know until it's tested.