
But I have never seen the series, so how am I going to do that?

OK, the first set looks familiar: it's the moe character Milka from Ep. 6 or maybe 7. But why does that particular pose look soooooooo familiar? Ah, because I got the matching layout in one of the grab-bags I won last year. So it's Ep. 6, Cut 23.
Done.

Now the "Cut 276" has got a 7-tail fox spirit and her maid. OK, Wikipedia identifies them (as Tamamonomae and Princess Mariel), so they're in Ep. 11 or 12. Cut 276 is near the end, so let's try the "Ep.12 Part 3" on YouTube. Dang, there it is!
Done.

So what I'm wondering is what am I learning about myself that I seem to be able to intuitively find my way through a game-based yuri anime series that I've never even seen.

Anyone else have any odd self-analytical epiphanies like this while sorting out lots that you've decided to go after?