Expose full response in generateText and generateObject (Cannot access full groq errors)

[williamlmao]

Feature Description

It would be really nice if generateText or generateObject could expose the full response, like so:

 const { object, usage, fullResponse } = await generateObject({
    model,
    messages,
    schema,
  });

Use Case

Certain inference providers like Groq put some additional information in other fields in an error response. For example if tool calls / json mode is on groq and the schema validation fails, it will tell you to look at the failed_generation. This is not currently accessible from the vercel AI SDK.

Additional context

If you want to see what I mean, just try bumping up the temperature to 2 on a generateObject from groq and use a somewhat complicated schema.

[williamlmao]

Closed in favor of #3779