[AIG]added responses endpoint and examples

[daisyfaithauma]

Summary

• Added responses endpoint and examples

Screenshots (optional)

Documentation checklist

• The documentation style guide has been adhered to.
• If a larger change - such as adding a new page- an issue has been opened in relation to any incorrect or out of date information that this PR fixes.
• Files which have changed name or location have been allocated redirects.

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PR Change Summary

Added a new responses endpoint to the OpenAI documentation and provided examples for both chat completions and responses.

• Introduced a new responses endpoint for OpenAI.
• Added example requests for both chat completions and responses using cURL and JavaScript SDK.
• Updated the documentation to reflect the new endpoint and examples.

Modified Files

• src/content/docs/ai-gateway/providers/openai.mdx

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[github-actions]

Preview URL: https://5bf9b772.preview.developers.cloudflare.com
Preview Branch URL: https://openai-endpoints.preview.developers.cloudflare.com

Files with changes (up to 15)

Original Link	Updated Link
https://developers.cloudflare.com/ai-gateway/providers/openai/	https://openai-endpoints.preview.developers.cloudflare.com/ai-gateway/providers/openai/