We define an $N-cost to be a supply pile with cost N in Z^3 (a,b,c) where a is its cost in coins and b is its cost in potions and c is its cost in bacon cheeseburger tokens. Hovel is not a $1, and even if it were, you could half-reasonably argue that it is the best $1 ever.
List of known examples:
(4,0,0)
(5,0,0)
(6,0,0)
List of known counterexamples:
(1,0,0)
(4,1,0)
(6,1,0)
(11,0,0)
REDACTED
...Moat?