AI agents cannot invite reviewers to private YouTube videos via YouTube Data API

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### A screenshot that you have tested with "Try this API".

Errors from the screenshot:

```
Property "recipients" does not exist in object specification.

You have invalid or missing required parameter values above. If you execute anyway, the response will likely be an error.
```

API response from the screenshot:

```json
{
"error": {
"code": 400,
"message": "'recipients'",
"errors": [
{
"message": "'recipients'",
"domain": "youtube.part",
"reason": "unknownPart",
"location": "part",
"locationType": "parameter"
}
]
}
}
```

### Link to the code that reproduces this issue. A link to a **public** Github Repository or gist with a minimal reproduction.

https://github.com/karlhorky/repro-youtube-api-private-video-recipients

### A step-by-step description of how to reproduce the issue, based on the linked reproduction.

1. Clone the linked reproduction repository.
2. Set `YOUTUBE_ACCESS_TOKEN` to an OAuth access token for the Google account that owns the test video.
3. Set `YOUTUBE_VIDEO_ID` to the ID of a video owned by that account.
4. From the repository root, run:
`YOUTUBE_ACCESS_TOKEN='...' YOUTUBE_VIDEO_ID='...' node index.ts`
5. The script calls the YouTube Data API `videos.update` endpoint directly with `fetch`, using `part=recipients`.
6. The request body includes the video ID and an attempted invited-viewer list.
7. The API rejects the request because `recipients` is not a supported `part`.

Expected: the API supports adding invited viewers to a private YouTube video, or documents the supported equivalent.

Actual: the API rejects the request before any invited-viewer validation can happen, because there does not appear to be a supported API surface for private-video invited viewers.

### A clear and concise description of what the bug is, and what you expected to happen.

AI-agent workflow blocked: AI agents can upload or update private YouTube videos through the API, but cannot invite specific human reviewers to those private videos.

(also applies to regular scripts and other automation)

YouTube Studio supports account-based access control for private videos: a creator can invite specific Google accounts by email address to view a private video.

The YouTube Data API and generated Node.js client do not appear to expose this same capability.

I expected the API to allow automation of the same private-sharing workflow available in YouTube Studio:

- Set a video to Private
- Add invited viewers by email address / Google account
- List invited viewers
- Remove invited viewers

Instead, the API rejects the `recipients` part as unsupported.

This blocks AI agents (for example with [Antigravity CLI](https://antigravity.google/docs/cli-overview) or [Codex CLI](https://developers.openai.com/codex/cli) or [Claude Code](https://claude.com/product/claude-code), etc). A common agentic workflow is:

1. Upload or generate a draft video
2. Keep it private
3. Invite a specific reviewer, client, student or teammate
4. Wait for human review
5. Update the video, publish it later or revoke access

Because the API cannot manage invited viewers, AI agents and other automation systems using private videos are pushed toward:

1. brittle browser automation against YouTube Studio using Playwright MCP or similar
2. unofficial client libraries that depend on undocumented YouTube Studio internals, such as https://github.com/adasq/youtube-studio

### A clear and concise description WHY you expect this behavior, i.e., was it a recent change, there is documentation that points to this behavior, etc. **

I expect this behavior because YouTube Studio already supports this private-video sharing workflow in the UI:

Video:

https://github.com/user-attachments/assets/4dbacac6-28bb-462c-898f-6ae0a672de67

Screenshots:

The YouTube Data API currently documents `status.privacyStatus` for videos, including `private`, but there does not appear to be a documented way to manage the invited users for a private video:

https://developers.google.com/youtube/v3/docs/videos

This means there is a mismatch between YouTube Studio functionality and the public API/client surface.

A related earlier report also ran into the same missing API surface when trying to use a `recipients` part:

- https://github.com/googleapis/google-api-nodejs-client/issues/3626

Expected behavior:

The API should expose a documented way to manage private-video invited viewers, for example:

- Adding invited viewers: support a `privateSharing` / `recipients` part on `videos.update`, a `videos.permissions.insert` method or another documented endpoint for adding account-based private video access
- Listing invited viewers: support a `privateSharing` / `recipients` part on `videos.list`, a `videos.permissions.list` method or another documented endpoint for reading the current invited-viewer list
- Removing invited viewers: support a `privateSharing` / `recipients` part on `videos.update`, a `videos.permissions.delete` method or another documented endpoint for revoking account-based private video access
- Validating invited viewers: return clear errors for invalid emails, non-Google accounts, quota issues and permission issues

At minimum, the API should support:

- Adding invited viewers
- Listing invited viewers
- Removing invited viewers
- Returning clear validation errors for invalid emails, non-Google accounts, quota issues and permission issues

Start with the linked reproduction repository, run index.ts with the documented environment variables, and inspect its direct videos.update request using part=recipients. Compare that request with the YouTube videos API documentation and related issue #3626; done would require a confirmed supported API/client surface for adding, listing, and removing invited viewers, or clear documentation that none exists.

Written by the indexing model from the issue text.