Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
This is a simple one-parameter lookup with a fully documented schema, an output schema, and annotations covering read-only, open-world, idempotent, and non-destructive behavior. The description adds the only missing behavioral nuance: the 'found=false' response for unknown products.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.