Model Training Hat starts with Nanhyang in Inside Payon (8, 193). The steps below are read from the quest's script on this server, in the order the script's quest stage moves through them.
Walkthrough
1 Talk to Nanhyang in Inside Payon (8, 193)
When Room in your inventory for what you get; Script check: not (MaxWeight - Weight) < 2430 Choose “Disassemble” Have with you 1 × 
Model Training Hat, 1 × 
ArrowIt takes 1 × Model Training Hat, 1 × ArrowYou get 1 × 
Apple of Archer; 1 × 
Book [3]. . . . . . . . . . . . . .
. . . . . . . . . . . . .
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Script:
npc/quests/newgears/2004_headgears.txt:12082 Talk to Nanhyang in Inside Payon (8, 193)
When Room in your inventory for what you get; Script check: not (MaxWeight - Weight) < 2430; Script check: not countitem(5073) > 0 && countitem(1750) > 0 Choose “Create” Have with you 1 × Apple of Archer, 1 × Book [3]It takes 1 × Apple of Archer, 1 × Book [3]You get 1 × Model Training Hat; 1 × ArrowYou may have trouble at first, keeping your balance and trying not to drop the apple. You may even feel incredible neck pain. But for the sake of beauty, it'll all be worth it.
Here it is.
Oh, right, this arrow from the Apple of Archer is left over, so you can go ahead and take that.
Also, I can disassemble the Model Training Hat into its original materials. So if you want the original items back, bring the Model Training Hat and the arrow I gave you.
Script:
npc/quests/newgears/2004_headgears.txt:1269
Rewards over the whole quest
1 × Apple of Archer; 1 × Book [3]; 1 × Model Training Hat; 1 × Arrow
How this page is made: every step comes from the NPC scripts the server loads for Episode 13.2 (the file and line are under each step). "When" lists the checks the script makes before that branch runs; "Have with you" are the items it counts; experience from getexp is multiplied by the server's 50x quest rate. NPC lines are the script's own text.