feat(gateway): support api_type

[Kludex]

Note

Replaces gateway upstream names with api_type routing (chat, responses, gemini, converse, anthropic, groq) and updates model/provider inference, URLs, and tests/cassettes accordingly.

• Gateway Provider:
  • Introduces api_type routing (chat, responses, gemini, converse, anthropic, groq) in providers/gateway.py replacing upstream names.
  • Updates overloads, base URL path merging, and error messages; caches HTTPX client under gateway/{api_type}.
  • Adds infer_gateway_model(api_type, model_name=...) to map API types to concrete model classes.
• Model Inference:
  • models/__init__.py: when provider_name starts with gateway/, delegates to infer_gateway_model.
• Models:
  • openai.py: gateway provider string now gateway/chat (Chat) and gateway/responses (Responses).
  • google.py: gateway provider string now gateway/gemini.
  • bedrock.py: gateway provider string now gateway/converse.
• Providers:
  • providers/__init__.py: infer_provider('gateway/...') passes api_type through to gateway_provider.
• Tests & Cassettes:
  • Rename usages gateway/openai* → gateway/chat|responses, gateway/google-vertex → gateway/gemini, gateway/bedrock → gateway/converse.
  • Update expected base paths, snapshots, and fixtures; adjust Google request config and models; refresh recorded responses.

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