Read the terms and conditions of your model provider. The document you signed, regardless if you read or considered it, explicitly removes any negative consequences being passed to the AI provider.
Unless you have something equally as explicit, e.g. "we do not guarantee any particular outcome from the use of our service" (probably needs to be significantly more explicitly than that, IANAL) all responsibility ends up with the entity who itself, or it's agents, foists unreliable AI decisions on downstream users.
Remember, you SIGNED THE AGGREMENT with the AI company the explicitly says it's outputs are unreliable!!
And if you DO have some watertight T&C that absolves you of any responsibility of your AI-backed-service, then I hope either a) your users explicitly realize what they are signing up for, or b) once a user is significantly burned by your service, and you try to hide behind this excuse, you lose all your business