docs: provider and distro codegen migration (#3531)

# What does this PR do?

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- Updates provider and distro codegen to handle the new format
- Migrates provider and distro files to the new format

## Test Plan

- Manual testing

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docs/source/providers/inference/index.md

@@ -1,42 +0,0 @@
-# Inference
-
-## Overview
-
-Llama Stack Inference API for generating completions, chat completions, and embeddings.
-
-    This API provides the raw interface to the underlying models. Two kinds of models are supported:
-    - LLM models: these models generate "raw" and "chat" (conversational) completions.
-    - Embedding models: these models generate embeddings to be used for semantic search.
-
-This section contains documentation for all available providers for the **inference** API.
-
-## Providers
-
-```{toctree}
-:maxdepth: 1
-
-inline_meta-reference
-inline_sentence-transformers
-remote_anthropic
-remote_azure
-remote_bedrock
-remote_cerebras
-remote_databricks
-remote_fireworks
-remote_gemini
-remote_groq
-remote_hf_endpoint
-remote_hf_serverless
-remote_llama-openai-compat
-remote_nvidia
-remote_ollama
-remote_openai
-remote_passthrough
-remote_runpod
-remote_sambanova
-remote_tgi
-remote_together
-remote_vertexai
-remote_vllm
-remote_watsonx
-```