AI-search plugin supports controlling through the web_search_options parameter.

[johnlanni]

Ⅰ. Describe what this PR did

Ⅱ. Does this pull request fix one issue?

Ⅲ. Why don't you add test cases (unit test/integration test)?

Ⅳ. Describe how to verify it

Ⅴ. Special notes for reviews

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 43.39%. Comparing base (ef31e09) to head (3e201e2).
Report is 346 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1893      +/-   ##
==========================================
+ Coverage   35.91%   43.39%   +7.48%     
==========================================
  Files          69       76       +7     
  Lines       11576    12301     +725     
==========================================
+ Hits         4157     5338    +1181     
+ Misses       7104     6629     -475     
- Partials      315      334      +19     

see 71 files with indirect coverage changes

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