feat(ai-gateway): Overhaul of AI Proxy docs

[tomek-labuk]

Description

Fixes #issue

Preview Links

Main landing page:

• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/
  (question: how to facilitate navigation between different provider sub-pages?)

Auto-generated provider sub-pages:

• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/openai/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/azure/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/bedrock/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/gemini/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/vertex/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/anthropic/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/cohere/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/huggingface/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/llama/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/mistral/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/xai/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/dashscope/
• https://deploy-preview-3906--kongdeveloper.netlify.app/ai-gateway/ai-providers/cerebras/

Questions for sub-pages:

• What else are we missing in terms of content?
• How to render some of the tables more presentable (some stretch out of their enclosing containers)
• What to leave in the plugins overview?
• How to cross-link providers sub-pages?
• How to implement easy navigation between the overviews, sub-pages and the landing page?

AI Proxy / AI Proxy advanced overviews:

• https://deploy-preview-3906--kongdeveloper.netlify.app/plugins/ai-proxy/
• https://deploy-preview-3906--kongdeveloper.netlify.app/plugins/ai-proxy-advanced/

Open questions:

• What to do with response/request formats?
• Should load balancing be completeluy moved to the reference page?
• What else can we move to the reference page from the AI Proxy Advanced overview?

Checklist

• Tested how-to docs. If not, note why here.
• All pages contain metadata.
• Any new docs link to existing docs.
• All autogenerated instructions render correctly (API, decK, Konnect, Kong Manager).
• Style guide (capitalized gateway entities, placeholder URLs) implemented correctly.
• Every page has a description entry in frontmatter.
• Add new pages to the product documentation index (if applicable).

[netlify]

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