Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
No annotations are provided, so the description carries the full burden of behavioral disclosure. The description tells us it's a read-only operation ('Ruft... ab' indicates retrieval without side effects) and the scope (all cost centers for a customer). However, it doesn't describe any restrictions, such as potential large result sets, ordering, or whether the read is always consistent. For a simple list operation, this is adequate but not rich; the absence of a note about not requiring the API key if the environment variable is set is notable, as the schema provides that context.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.