docs: provider and distro codegen migration (#3531)

# What does this PR do?

<!-- Provide a short summary of what this PR does and why. Link to relevant issues if applicable. -->

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<!-- Closes #[issue-number] -->

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

## Test Plan

- Manual testing

<!-- Describe the tests you ran to verify your changes with result summaries. *Provide clear instructions so the plan can be easily re-executed.* -->

docs/docs/providers/scoring/index.mdx

@@ -0,0 +1,16 @@
+---
+sidebar_label: Scoring
+title: Scoring
+---
+
+# Scoring
+
+## Overview
+
+This section contains documentation for all available providers for the **scoring** API.
+
+## Providers
+
+- [Basic](./inline_basic)
+- [Braintrust](./inline_braintrust)
+- [Llm-As-Judge](./inline_llm-as-judge)

docs/docs/providers/scoring/inline_basic.mdx

@@ -0,0 +1,17 @@
+---
+description: "Basic scoring provider for simple evaluation metrics and scoring functions."
+sidebar_label: Basic
+title: inline::basic
+---
+
+# inline::basic
+
+## Description
+
+Basic scoring provider for simple evaluation metrics and scoring functions.
+
+## Sample Configuration
+
+```yaml
+{}
+```

docs/docs/providers/scoring/inline_braintrust.mdx

@@ -0,0 +1,23 @@
+---
+description: "Braintrust scoring provider for evaluation and scoring using the Braintrust platform."
+sidebar_label: Braintrust
+title: inline::braintrust
+---
+
+# inline::braintrust
+
+## Description
+
+Braintrust scoring provider for evaluation and scoring using the Braintrust platform.
+
+## Configuration
+
+| Field | Type | Required | Default | Description |
+|-------|------|----------|---------|-------------|
+| `openai_api_key` | `str \| None` | No |  | The OpenAI API Key |
+
+## Sample Configuration
+
+```yaml
+openai_api_key: ${env.OPENAI_API_KEY:=}
+```

docs/docs/providers/scoring/inline_llm-as-judge.mdx

@@ -0,0 +1,17 @@
+---
+description: "LLM-as-judge scoring provider that uses language models to evaluate and score responses."
+sidebar_label: Llm-As-Judge
+title: inline::llm-as-judge
+---
+
+# inline::llm-as-judge
+
+## Description
+
+LLM-as-judge scoring provider that uses language models to evaluate and score responses.
+
+## Sample Configuration
+
+```yaml
+{}
+```