feat: Consolidate Web Search, News Search, and RSS Reader into unified component (#9975)

* feat: Consolidate Web Search, News Search, and RSS Reader into unified component

Merge three separate components into a single Web Search component with tab-based mode selection:
- Web mode: DuckDuckGo search functionality (default)
- News mode: Google News RSS feed search with topic/location support
- RSS mode: Generic RSS feed reader

This reduces code duplication and provides a more intuitive user experience with a single component that handles all search-related functionality.

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

* [autofix.ci] apply automated fixes

* Update test_web_search.py

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Co-authored-by: Claude <[email protected]>
Co-authored-by: autofix-ci[bot] <114827586+autofix-ci[bot]@users.noreply.github.com>
Co-authored-by: Eric Hare <[email protected]>