"If the King finds that the Architect has used more resources to build the wall than it was absolutely necessary to satisfy those requirements, then the Architect will LOOSE his head."
http://grammarist.com/usage/loose-lose/

Shakespeare, i dare to say!~
https://books.google.com.ua/books?id=Ds0yAQAAMAAJ&pg=PA282&lpg=PA282&dq=loose+his+head#v=onepage&q=loose%20his%20head&f=false
https://books.google.com.ua/books?id=1joRAwAAQBAJ&pg=PA189&lpg=PA189&dq=shakespeare+%22loose%22+his+head#v=onepage&q=shakespeare%20%22loose%22%20his%20head&f=false