OpenAI Responses API support missing

[dugjason]

Bug description

Seeing a type error when attempting to include posthog* properties in a posthogOpenAI.responses.create({...}) call for OpenAI models.

Not behaving as documented

How to reproduce

1. Init a Posthog AI client for OpenAI
2. Attempt to add posthog* attributes
3. See type error

Relevant client versions;

{
  "dependencies": {
    "@posthog/ai": "3.3.2",
    "openai": "4.90.0",
    "posthog-js": "1.234.1",
    "posthog-node": "4.11.1"
  }
}

Related sub-libraries

• [ ] All of them
• [ ] posthog-web
• [x] posthog-node
• [ ] posthog-react-native

Additional context

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