Thanks, guys.
There is one strategy you guys could use - Odyssial can use Fate-Shifting Solar Arete once per night's rest. Usually he reserves it for right before he goes to sleep, to preserve maximum flexibility throughout the day, but it's getting to be that time anyway, and it works on any roll. He can also lower his TNs due to Peerless Skill by spending a scene preparing for a roll. Normally, that would be a waste for many actions, but he really does need all the help he can get. With these powers combined... he might have a chance of getting through to Nilul, or seeing through her mask.
[ ] Use the Hypercompetence to Ask Her - Combined with a stunt, you could actually get a very respectable result on this roll, if you're lucky. You might also be able to force an answer out of her by intimidating her - that would be mechanically more effective, but might have untoward consequences. If successful, you might be able to connect with Nilul, getting her to reveal more of her plan.
[ ] Use the Hypercompetence to Case Her Profile - Having trouble trusting her? With a small amount of luck, this would be the absolute strongest Investigation attempt you could currently make, a blowout roll that should at least give you an indirect intuition about
something even if she is perfectly inscrutable. You might even learn about her final motives, or the nature of the things that trouble her!
[ ] Use the Hypercompetence on a War Roll - No, the best option is to continue as you were, and use your technique on a Strategic War roll to analyze the information you gathered today and plan out tomorrow's actions. Also defends you from enemy attempts at striking indirectly, as you discern and counter their strategies peerlessly!
In the future, remember that you can make plans to use your hypercompetence once per day! Though Odyssial will need a good reason to bust it out before night-time, since he might always need it for a fight (as he's planning to during the tournament)
I've thought about it and the whole perpetual reincarnation plan seems to have a pretty big weakness. All it takes is getting killed by a spirit-killing charm and our soul would be completely destroyed and we wouldn't have had any more chances. Did Ulysses have any protections in place to prevent this from happening to himself or any future incarnation?
It was a backup plan, one contingency of many, in the first place. The first plan was always to avoid being killed in the first place. Towards that end, Odyssial had hundreds, maybe tens of thousands, of separate plans. Hence the almost destroying Creation thing when they tried to kill him.