Support needed for identifying members-only videos in YouTube API

[ndk6879]

Is your feature request related to a problem? Please describe.
The search().list API returns only IDs of public videos(e.g. videos/shorts/live). However, it does not return video IDs for members-only videos.

Describe the solution you'd like

1. Provide an exclusive API to access members-only videos or include members-only video IDs in the search().list API.
2. Allow API users who are members (with proper subscription) to access members-only video metadata.
3. Allow content owners to grant API keys or OAuth credentials the right to access members-only video metadata.

Describe alternatives you've considered
N/A

Additional context
I'm working on a menu search project where I use search().list API to get a list of video IDs, and then call videos().list API to retrieve details for each video.

I noticed that search().list only returns IDs for publicly available videos. Members-only videos are not included.

If I manually find a members-only video and call videos().list with its ID, I can still retrieve detailed metadata.
To avoid this manual work, I hope there can be a way to also retrieve or include IDs of members-only videos.