feat(inference): type Cartesia turn-detection params

[rosetta-livekit-bot]

Ports livekit/agents#6597 by exposing the Cartesia turn-detection gateway parameters through inference STT model option typing. Also marks the existing volume and silence options as Ink Whisper-only.

Adds a minor changeset for the new public API typing.

Source diff coverage

• livekit-agents/livekit/agents/inference/stt.py: adapted to agents/src/inference/stt.ts. Added all five Cartesia turn-detection fields with the same types, ranges, defaults, model scope, and gateway-validation context. Python comments were adapted to TypeScript comments/JSDoc; gateway snake_case field names were retained verbatim because inference passes these options through unchanged.
• Source tests: not applicable. The authoritative source PR does not add or modify tests.
• Source infrastructure: not applicable. The authoritative source PR is typing-only and relies on the gateway pass-through already present in both SDKs.

Validation

• pnpm test agents (1,505 passed, 5 skipped)
• pnpm --filter @livekit/agents build
• pnpm --filter @livekit/agents typecheck
• pnpm --filter @livekit/agents lint (passes with existing warnings)
• pnpm exec prettier --check "agents/src/inference/stt.ts" ".changeset/type-cartesia-turn-detection.md"

---

Ported from livekit/agents#6597

Original PR description

Companion to #6594 (which exposed these on the direct plugin): the Inference gateway already accepts and validates Cartesia's turn-detection tuning params via extra_kwargs — they're just missing from the CartesiaOptions TypedDict, so users can't discover them.

Verified live against the gateway today:

• extra_kwargs={"turn_start_threshold": 0.6} on cartesia/ink-2 → session created and runs normally.
• extra_kwargs={"turn_start_threshold": 2.0} → session creation fails with cartesiaturns: extra settings validation failed: turn_start_threshold must be <= 0.9, got 2 — i.e. the gateway's cartesia-turns adapter knows these params and enforces Cartesia's documented ranges.

This PR only adds the keys to the TypedDict (typing/discoverability — extra_kwargs already passes them through verbatim) and annotates the two existing keys as ink-whisper-only, per Cartesia's API reference. Ranges/defaults from https://docs.cartesia.ai/api-reference/stt/turns/websocket.

Verified with ruff check / ruff format.

🤖 Generated with Claude Code

[changeset-bot]

🦋 Changeset detected

Latest commit: 2abb937

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 39 packages

Name	Type
@livekit/agents	Major
@livekit/agents-plugin-anam	Major
@livekit/agents-plugin-anthropic	Major
@livekit/agents-plugin-assemblyai	Major
@livekit/agents-plugin-azure	Major
@livekit/agents-plugin-baseten	Major
@livekit/agents-plugin-bey	Major
@livekit/agents-plugin-cartesia	Major
@livekit/agents-plugin-cerebras	Major
@livekit/agents-plugin-deepgram	Major
@livekit/agents-plugin-did	Major
@livekit/agents-plugin-elevenlabs	Major
@livekit/agents-plugin-fishaudio	Major
@livekit/agents-plugin-google	Major
@livekit/agents-plugin-hedra	Major
@livekit/agents-plugin-hume	Major
@livekit/agents-plugin-inworld	Major
@livekit/agents-plugin-krisp	Major
@livekit/agents-plugin-lemonslice	Major
@livekit/agents-plugin-liveavatar	Major
@livekit/agents-plugin-livekit	Major
@livekit/agents-plugin-minimax	Major
@livekit/agents-plugin-mistral	Major
@livekit/agents-plugin-mistralai	Major
@livekit/agents-plugin-neuphonic	Major
@livekit/agents-plugin-openai	Major
@livekit/agents-plugin-perplexity	Major
@livekit/agents-plugin-phonic	Major
@livekit/agents-plugin-protoface	Major
@livekit/agents-plugin-resemble	Major
@livekit/agents-plugin-rime	Major
@livekit/agents-plugin-runway	Major
@livekit/agents-plugin-sarvam	Major
@livekit/agents-plugin-silero	Major
@livekit/agents-plugin-soniox	Major
@livekit/agents-plugin-tavus	Major
@livekit/agents-plugins-test	Major
@livekit/agents-plugin-trugen	Major
@livekit/agents-plugin-xai	Major

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[devin-ai-integration]

✅ Devin Review: No Issues Found

Devin Review analyzed this PR and found no potential bugs to report.

View in Devin Review to see 1 additional finding.