Get the list of available search providers with their configuration fields.

Auto-discovers search providers and their UI-friendly names from transformation configs.

Example Request:

curl -X GET "http://localhost:4000/search_tools/ui/available_providers" \
    -H "Authorization: Bearer <your_api_key>"

Example Response:

{
    "providers": [
        {
            "provider_name": "perplexity",
            "ui_friendly_name": "Perplexity"
        },
        {
            "provider_name": "tavily",
            "ui_friendly_name": "Tavily"
        }
    ]
}