Storyweaver is a new summon trait that creates a carry unit, Kayle, and gives her items depending on how many Storyweaver units you have in. I have added all the specific items and their use cases below.
Storyweaver Evolutions
3 Storyweaver Items
Talisman of Aid is best for a more supportive Kayle build that stays at 3 Storyweaver. You can use this to provide shred/sunder for your entire team.
Talisman of Might is the AP option, best suited when playing Storyweaver with an AP carry like Morgana.
Talisman of Speed is the attack speed option, best with units like Kai'sa.
5 Storyweaver Items
If you're playing 5 Storyweaver or more, you're using Kayle as a carry, rather than a support.
Scroll of Force is the more burst option for faster fights where you AOE down the entire frontline.
Scroll of Haste is a stacking option for if you have lots of tank items and want a slower fight.
7 Storyweaver Items
Tome of Mending is, again, a more supportive option. I think it scales well with Scroll of Haste which prefers longer fights.
Tome of Swiftness also scales well with Scroll of Haste because you're getting more attacks off.
10 Storyweaver
Amulet of Ascension is an auto win. Kayle ascends and gets insane attack speed and damage. It does require 3 Storyweaver emblems, so it's very difficult to hit.
3 Storyweaver Comp
7 Storyweaver Comp
If you liked this guide, check out my Inkshadow guide:
https://www.tacter.com/tft/guides/set-11-inkshadow-guide-2de7103f