[Mani (manisrinivasan2k1)]

Summary

Fixes in TavilyTextSearch:

• Skip: max_results was computed as top - skip, so Skip never skipped anything and Top == Skip sent max_results: 0. Tavily has no offset parameter, so the connector now requests top + skip results (capped at Tavily's maximum of 20) and drops the first skip client-side. Skip values that push past the 20-result window return fewer than Top results.
• Request window: the outgoing max_results is capped at Tavily's maximum of 20 (computed with overflow-safe arithmetic); the accepted Top range is unchanged.
• Image response parsing: accepts both plain URL strings and objects with descriptions. A live call with images enabled previously threw at $.images[0]; the parser now handles that response without changing public options.
• Images: IncludeImages ?? false && Images is not null parsed as IncludeImages ?? (false && …); with IncludeImages = true and no images in the response the enumerators threw. The condition is now parenthesized.
• Search options: adds the fast and ultra-fast search depths (TavilySearchDepth.Fast / UltraFast, appended so existing values are unchanged) and optional Country, StartDate, EndDate, SafeSearch, IncludeDomainsMode, Language, FilterByLanguage, ExactMatch and AutoParameters options. They are sent only when set (IncludeDomainsMode only when the request has include domains). Corrects the chunks_per_source doc comment (1–3).
• Client name: requests now carry X-Client-Name: semantic-kernel (added per request; not added when the caller's HttpClient already sets that header). The existing User-Agent, Authorization and request bodies are unchanged.

Defaults, result shapes and exception types are unchanged; the days filter is left as is.

Validation

• The focused Tavily suite passes 60/60 tests at 99aeaf8, including URL-string images, existing object descriptions, malformed objects, pagination, options and attribution. The earlier baseline run had 9 failures in 44 tests against the unmodified source; the new image defect was separately reproduced twice against the live API before its fix.
• Ten bounded real Search API requests through TavilyTextSearch: eight original cases, one image-shape diagnostic and one final image retest. Default search, same-response Top/Skip slicing, include-domain restriction, added option serialization and invalid-key 401 handling passed. Country with ultra-fast returns the API's expected 400; its option comment now documents the limitation.
• The image retest at the final head returned eight items from a response containing plain URL strings without throwing; existing object descriptions are covered by fixtures. The other live cases ran before the isolated image-parser correction and were not repeated after it. Ten synthetic HTTP harness checks also pass.
• Outbound X-Client-Name: semantic-kernel was observed. No server analytics ingestion or real-model agent test is claimed. API acceptance of date/language flags does not prove their semantic filtering accuracy.

Behavior notes

• The accepted Top range is unchanged (1–50). Only the outgoing max_results is capped at 20, so Top values above 20 now return at most 20 results; previously the larger value was sent to the API.
• Not added: favicon, usage and the include_answer basic/advanced modes. IncludeAnswer keeps its existing type.

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