fix: match baseten plugin structure to other plugins for release standardization

[jebentier]

Description

As requested by @toubatbrian in this comment, this is a small PR to bring the new baseten plugin into package parity with other LiveKit plugin packages.

Changes Made

• Removed private: true from package.json
• Added exports, require, and type definitions to package.json
• Changed script definitions to match those in other packages
• Added support for and configured API extractor for the baseten package

Pre-Review Checklist

• Build passes: All builds (lint, typecheck, tests) pass locally
• AI-generated code reviewed: Removed unnecessary comments and ensured code quality
• Changes explained: All changes are properly documented and justified above
• Scope appropriate: All changes relate to the PR title, or explanations provided for why they're included
• Video demo: A small video demo showing changes works as expected and did not break any existing functionality using Agent Playground (if applicable)

Testing

• Automated tests added/updated (if applicable)
• All tests pass
• Make sure both restaurant_agent.ts and realtime_agent.ts work properly (for major changes)

Additional Notes

Just want to give an extra thank you to Brian and the LiveKit team for this platform/project and the time and energy y'all are putting into making this.

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Note to reviewers: Please ensure the pre-review checklist is completed before starting your review.

[changeset-bot]

🦋 Changeset detected

Latest commit: b1f1bb8

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

This PR includes changesets to release 16 packages

Name	Type
@livekit/agents-plugin-baseten	Patch
@livekit/agents	Patch
@livekit/agents-plugin-anam	Patch
@livekit/agents-plugin-bey	Patch
@livekit/agents-plugin-cartesia	Patch
@livekit/agents-plugin-deepgram	Patch
@livekit/agents-plugin-elevenlabs	Patch
@livekit/agents-plugin-google	Patch
@livekit/agents-plugin-inworld	Patch
@livekit/agents-plugin-livekit	Patch
@livekit/agents-plugin-neuphonic	Patch
@livekit/agents-plugin-openai	Patch
@livekit/agents-plugin-resemble	Patch
@livekit/agents-plugin-rime	Patch
@livekit/agents-plugin-silero	Patch
@livekit/agents-plugins-test	Patch

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[CLAassistant]

All committers have signed the CLA.

[toubatbrian]

Looks good! Could you make a patch changeset on baseten plugin?

Also, could you please run pnpm install and pnpm install --frozen-lockfile to make sure command passes, and try test one more time by swapping the baseten plugin inside ./examples/src/base_agent.ts just to make sure everything works properly. Thanks!

[jebentier]

@toubatbrian changeset pushed, ran the commands and test you requested, everything works and there are no additional changes to the pnpm-lock.yaml to be pushed. Thank you again for all your help with this.