fix: Agent Studio MCP search tool

[8bittitan]

Summary

The Agent Studio MCP search tool changed its input shape. It now sends a queries array (with originalQuery and clickAnalytics) instead of a single top-level query string. Because the UI only knew how to read the old single-query input, MCP search calls rendered blank query labels and multi-query searches were collapsed into a single (often empty) entry.

This updates the type definitions and rendering to support the new multi-query payload while still parsing older stored tool calls that use the legacy single-query shape, so previously saved conversations keep rendering correctly.

Why

• The MCP tool now issues multiple queries per call, and each one should be shown and be individually clickable.
• Older conversations persisted with the previous input shape must not break, so query extraction handles both formats.
• Centralizing query extraction in a single getSearchToolQueries helper removes the duplicated, format-specific parsing that was scattered across the tool call rendering and grouping logic.

Testing

• Ask AI a question that triggers the Agent Studio MCP search tool and confirm each issued query renders as its own result row.
• Confirm clicking (and keyboard Enter/Space on) a rendered query still fires the search-for-query action.
• Trigger a call that returns multiple queries and verify empty or whitespace-only queries are filtered out.
• Open an older conversation that used the previous single-query MCP payload and confirm the query still displays.
• Run bun run test --run packages/docsearch-react/src/components/__tests__/ToolCall.test.tsx and the ai / groupConsecutiveToolResults test files.

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[netlify]

✅ Deploy Preview for docsearch ready!

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[dylantientcheu]

funny that the test diffs are even more than the actual code :D