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Legion Cook
Obtain 100 skill points in the "Legion" category of cooking.
Legion Cook is a 10-point achievement that requires you to obtain 100 skill points in the Legion category of cooking by learning and crafting Legion recipes from quests, drops, and Nomi's kitchen work orders in the Broken Isles.
Learn Your First Recipe
Obtain a Legion recipe such as 
Recipe: Dried Mackerel Strips from the quests Too Many Cooks or The Prodigal Sous Chef, available across all Broken Isles zones. Learning any Legion recipe will cause Nomi to appear and offer you the short quest chain (The Prodigal Sous Chef/Too Many Cooks, followed by A Good Recipe) that unlocks work orders at Nomi's kitchen.
Unlock Nomi's Work Orders
Complete Nomi's introductory quest chain to set up your kitchen and begin submitting work orders, which require various meats and fish and can reward additional Legion recipes beyond those from quests and drops.
Craft Azshari Salad to Cap
Use 
Azshari Salad (rank 3) as an efficient way to gain skill points; you can also craft 
Suramar Surf and Turf using 
Runescale Koi and 
Lean Shank, or purchase crafting materials with Blood of Sargeras from the vendor in Dalaran. Stacking Azshari Salad is also a way to recoup costs, as finished stacks can be sold on the Auction House.
Tips
The bloodhunter shoulder enchant increases Blood of Sargeras gains, which helps you buy crafting materials from the Dalaran vendor more quickly.
The Darkmoon Faire offers a cooking quest that grants +5 skill points, which counts toward your Legion cooking total.