Quick answer: To place the Dragon Shelter kitchen foundation, take the kitchen set from Wilhelm's chest, then choose a spot on the farm and clear the entire foundation footprint. Use the axe on trees and other growth; if a planted bed still overlaps the footprint, dig it up with the shovel before placing the foundation. Watch the chest dialogue and the clearing and placement.
Players also call it kitchen, kitchen placement, or kitchen foundation blocked.
Place the kitchen foundation
Get the kitchen set
Choose and clear a farm spot
Remove overlapping planted beds
Place the foundation

A scythe is not required for this clearing step: the player who expected one cleared growth with an axe. If placement is still blocked, inspect the whole outline for a remaining obstacle or planted bed, including its edges. Watch the clearing attempt.
FAQ
Related
- How to Move Kitchen Workstations and Baskets covers arranging kitchen equipment after the foundation is placed.
- How to Make Jam covers a kitchen recipe.
- How to Bake Berry Pie covers another kitchen recipe.