docs(api): use mintlify for API specs

docs/api-reference/lighthouse/providers/create.mdx

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+---
+title: "Create Lighthouse Provider"
+api: "POST /api/v1/lighthouse/providers"
+description: "Add AI provider for Lighthouse."
+---
+
+Configure an LLM provider.
+
+## Request Body
+\`\`\`json
+{
+  "data": {
+    "type": "lighthouse-providers",
+    "attributes": {
+      "provider_type": "openai",
+      "api_key": "sk-...",
+      "name": "OpenAI Production"
+    }
+  }
+}
+\`\`\`

docs/api-reference/lighthouse/providers/delete.mdx

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+---
+title: "Delete Lighthouse Provider"
+api: "DELETE /api/v1/lighthouse/providers/{id}"
+description: "Remove AI provider."
+---
+
+Delete LLM provider configuration.

docs/api-reference/lighthouse/providers/list.mdx

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+---
+title: "List Lighthouse Providers"
+api: "GET /api/v1/lighthouse/providers"
+description: "Retrieve LLM providers for Lighthouse AI."
+---
+
+Get configured AI/LLM providers (OpenAI, Azure OpenAI, etc).

docs/api-reference/lighthouse/providers/refresh-models.mdx

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+---
+title: "Refresh Lighthouse Provider Models"
+api: "POST /api/v1/lighthouse/providers/{id}/refresh-models"
+description: "Refresh available models from provider."
+---
+
+Update the list of available AI models.

docs/api-reference/lighthouse/providers/retrieve.mdx

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+---
+title: "Retrieve Lighthouse Provider"
+api: "GET /api/v1/lighthouse/providers/{id}"
+description: "Get AI provider details."
+---
+
+Fetch LLM provider configuration.

docs/api-reference/lighthouse/providers/test-connection.mdx

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+---
+title: "Test Lighthouse Provider Connection"
+api: "POST /api/v1/lighthouse/providers/{id}/connection"
+description: "Test AI provider connectivity."
+---
+
+Verify LLM provider is properly configured.

docs/api-reference/lighthouse/providers/update.mdx

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+---
+title: "Update Lighthouse Provider"
+api: "PATCH /api/v1/lighthouse/providers/{id}"
+description: "Update AI provider settings."
+---
+
+Modify LLM provider configuration.