:herb: Fern Regeneration -- April 20, 2026 (#157)

* SDK regeneration

* Fix analyze example imports after ResponseFormat type split

The ResponseFormat type was renamed to SyncResponseFormat (and
AsyncResponseFormat). Update examples/analyze.py to import and use
SyncResponseFormat, which is what sync analyze/analyze_stream expect.
Also drop the unused ResponseFormatType import.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

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Co-authored-by: fern-api[bot] <115122769+fern-api[bot]@users.noreply.github.com>
Co-authored-by: tl-genie <genie@twelvelabs.io>
Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>