Crafting HQ (LVL 50 Weaver Rotation Help)

[Eiai]

I am a level 50 weaver.
My goal is to HQ Vanya robes and hats. What cross class skills do I need in order to do that?
As for the the cross class skills, I need to know which class obtains it and at what level.

Lastly, what is the best Weaver rotation for successfully crafting Vanya? The cross class skills I currently have are Waste Not, Hasty Touch, Rumination, Brand of Wind, Brand of Lightning, Byregot's Blessing, Rapid Synthesis, and Careful Synthesis II.

Current classes:
Carpenter 50
Weaver 50
Leatherworker 23
Armorer 18
Culinarian 17
Blacksmith 12
Alchemist 9
Goldsmith 1

Here’s my gear:
Tool: Clotho
Secondary Tool: Militia Spinning Wheel HQ
Hat: Weaver’s Gibus HQ
Body: Weaver’s Swallowtail HQ (Craftsman’s Command Materia III)
Hands: Weaver’s Gloves HQ
Waist: Raptorskin Merchant’s Purse HQ
Legs: Weaver’s Trousers HQ
Feet: Weaver’s Thighboots HQ
Necklace: Electrum Choker HQ (Craftsman's Command Materia III, Craftsman's Cunning Materia III)
Earrings: Red Coral Earrings HQ (Craftsman's Command Materia III)
Bracelets: Militia Wristlets HQ
Ring: Aetheryte Ring HQ x2

Edited for clarification purposes