Add Gemini realtime non-blocking tool scheduling

[toubatbrian]

Summary

• Adds toolBehavior and toolResponseScheduling support to the Google Gemini realtime model.
• Sends willContinue: true for non-blocking tool calls, then willContinue: false with the final tool result.
• Applies scheduling values (SILENT, WHEN_IDLE, INTERRUPT) to both continuing and final tool responses.
• Updates the Gemini realtime example with env-driven testing knobs for tool behavior, scheduling, and slow tool execution.

Test Plan

• Ran targeted regression test: pnpm test -- plugins/google/src/beta/realtime/realtime_api.test.ts
• Ran plugin lint: pnpm --filter @livekit/agents-plugin-google lint
• Manually verified Gemini API behavior for NON_BLOCKING with:
  • TOOL_SCHEDULING=SILENT
  • TOOL_SCHEDULING=WHEN_IDLE
  • TOOL_SCHEDULING=INTERRUPT
    Everything is tested and working properly

[changeset-bot]

🦋 Changeset detected

Latest commit: 9613b2b

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

This PR includes changesets to release 29 packages

Name	Type
@livekit/agents-plugin-google	Patch
@livekit/agents	Patch
@livekit/agents-plugin-anam	Patch
@livekit/agents-plugin-assemblyai	Patch
@livekit/agents-plugin-baseten	Patch
@livekit/agents-plugin-bey	Patch
@livekit/agents-plugin-cartesia	Patch
@livekit/agents-plugin-cerebras	Patch
@livekit/agents-plugin-deepgram	Patch
@livekit/agents-plugin-elevenlabs	Patch
@livekit/agents-plugin-hedra	Patch
@livekit/agents-plugin-inworld	Patch
@livekit/agents-plugin-lemonslice	Patch
@livekit/agents-plugin-liveavatar	Patch
@livekit/agents-plugin-livekit	Patch
@livekit/agents-plugin-minimax	Patch
@livekit/agents-plugin-mistral	Patch
@livekit/agents-plugin-mistralai	Patch
@livekit/agents-plugin-neuphonic	Patch
@livekit/agents-plugin-openai	Patch
@livekit/agents-plugin-phonic	Patch
@livekit/agents-plugin-resemble	Patch
@livekit/agents-plugin-rime	Patch
@livekit/agents-plugin-runway	Patch
@livekit/agents-plugin-sarvam	Patch
@livekit/agents-plugin-silero	Patch
@livekit/agents-plugin-trugen	Patch
@livekit/agents-plugin-xai	Patch
@livekit/agents-plugins-test	Patch

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[theomonnom]

lgtm!