fix(stt): pass speaker count hints

[ComputelessComputer]

Infer participant speaker counts for live and batch STT requests, pass them through Hyprnote proxy URLs, and map them to supported provider diarization parameters.

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Note

Medium Risk
Touches STT request construction across desktop, proxy, and multiple provider adapters; incorrect hint mapping could change diarization behavior or break provider requests. Changes are covered by unit tests but still impact a core transcription path.

Overview
Adds speaker-count diarization hints end-to-end. Desktop batch transcription now infers num_speakers from distinct session participants (+ self) via getSessionSpeakerCount when the caller doesn’t explicitly set speaker options.

Live listener params now set ListenParams.num_speakers from distinct participants (provider-agnostic), and AssemblyAI streaming query construction derives speaker_labels/max_speakers from ListenParams speaker fields rather than relying on custom_query.

Hyprnote proxy and client adapters propagate num_speakers/min_speakers/max_speakers through query params and provider-specific request fields (Hyprnote live+batch URLs, Gladia diarization_config, ElevenLabs num_speakers), and the OpenAPI/query parsing are updated accordingly with new tests.

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This is part 1 of 2 in a stack made with GitButler:

•  2  fix(stt): persist interrupted batch transcripts #5246
•  1  fix(stt): pass speaker count hints #5241 👈

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