Feat/web search integration

[EricStrohmaier]

I added web search functionality using xAI's built-in search capabilities.

This PR integrates xAI's web search feature (from the SDK) into the chatbot, allowing Grok models to search the web and cite sources in their responses.

Changes made

Backend:

• Added search parameter configuration in lib/ai/providers.ts (mode: auto, max 10 results)
• Updated message schema to store search results
• Result processing and deduplication in the chat route

Frontend:

• Created SearchResults component with collapsible source list
• Added SearchingIndicator for loading state
• Results display into message

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Notes:

• Configured to work with both chat-model (Grok Vision) and chat-model-reasoning (Grok Reasoning)
• Includes URL deduplication as a workaround for @ai-sdk/xai Duplicate Sources When returnCitations: true With streamText in TypeScript ai#9771

Tested with various queries that benefit from web search:

• Current events ("latest news about...")

Happy to make any changes or adjustments based on feedback!

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