Repository: yt-dlp
Issue: [YouTube] `--wait-for-video` should be able to stop retrying without access when a `Private video` is available
Labels: site-bug,triage

### DO NOT REMOVE OR SKIP THE ISSUE TEMPLATE

- [X] I understand that I will be **blocked** if I *intentionally* remove or skip any mandatory\* field

### Checklist

- [X] I'm reporting that yt-dlp is broken on a **supported** site
- [X] I've verified that I have **updated yt-dlp to nightly or master** ([update instructions](https://github.com/yt-dlp/yt-dlp#update-channels))
- [X] I've checked that all provided URLs are playable in a browser with the same IP and same login details
- [X] I've checked that all URLs and arguments with special characters are [properly quoted or escaped](https://github.com/yt-dlp/yt-dlp/wiki/FAQ#video-url-contains-an-ampersand--and-im-getting-some-strange-output-1-2839-or-v-is-not-recognized-as-an-internal-or-external-command)
- [X] I've searched [known issues](https://github.com/yt-dlp/yt-dlp/issues/3766) and the [bugtracker](https://github.com/yt-dlp/yt-dlp/issues?q=) for similar issues **including closed ones**. DO NOT post duplicates
- [X] I've read the [guidelines for opening an issue](https://github.com/yt-dlp/yt-dlp/blob/master/CONTRIBUTING.md#opening-an-issue)
- [ ] I've read about [sharing account credentials](https://github.com/yt-dlp/yt-dlp/blob/master/CONTRIBUTING.md#are-you-willing-to-share-account-details-if-needed) and I'm willing to share it if required

### Region

Taiwan

### Provide a description that is worded well enough to be understood

I've written a script for downloading live video after the live ending, and recently added the new parameter `--wait-for-video 0`. 

Before starting the download, if the video has been set to `Private video`, it will keep retrying without access.

The behaviour I'd like is to stop retrying instead of keeping trying for a video that won't download.

### Provide verbose output that clearly demonstrates the problem

- [X] Run **your** yt-dlp command with **-vU** flag added (`yt-dlp -vU <your command line>`)
- [ ] If using API, add `'verbose': True` to `YoutubeDL` params instead
- [X] Copy the WHOLE output (starting with `[debug] Command-line config`) and insert it below

### Complete Verbose Output

```shell
# ./yt-dlp_linux https://www.youtube.com/watch?v=7XcWhiPz57I -P ./Youtube --proxy http://127.0.0.1:7890 --wait-for-video 0 -vU
[debug] Command-line config: ['https://www.youtube.com/watch?v=7XcWhiPz57I', '-P', './Youtube', '--proxy', 'http://127.0.0.1:7890', '--wait-for-video', '0', '-vU']
[debug] Encodings: locale UTF-8, fs utf-8, pref UTF-8, out utf-8, error utf-8, screen utf-8
[debug] yt-dlp version nightly@2024.04.28.232723 from yt-dlp/yt-dlp-nightly-builds (linux_exe)
[debug] Python 3.11.9 (CPython x86_64 64bit) - Linux-5.10.0-21-amd64-x86_64-with (OpenSSL 3.1.4 24 Oct 2023)
[debug] exe versions: ffmpeg 4.3.5-0, ffprobe 4.3.5-0, phantomjs broken, rtmpdump 2.4
[debug] Optional libraries: Cryptodome-3.20.0, brotli-1.1.0, certifi-2024.02.02, mutagen-1.47.0, requests-2.31.0, secretstorage-3.3.3, sqlite3-3.44.2, urllib3-2.2.1, websockets-12.0
[debug] Proxy map: {'all': 'http://127.0.0.1:7890'}
[debug] Request Handlers: urllib, requests, websockets
[debug] Loaded 1810 extractors
[debug] Fetching release info: https://api.github.com/repos/yt-dlp/yt-dlp-nightly-builds/releases/latest
Latest version: nightly@2024.04.28.232723 from yt-dlp/yt-dlp-nightly-builds
yt-dlp is up to date (nightly@2024.04.28.232723 from yt-dlp/yt-dlp-nightly-builds)
[youtube] Extracting URL: https://www.youtube.com/watch?v=7XcWhiPz57I
[youtube] 7XcWhiPz57I: Downloading webpage
[youtube] 7XcWhiPz57I: Downloading ios player API JSON
[youtube] 7XcWhiPz57I: Downloading android player API JSON
WARNING: [youtube] Skipping player responses from android clients (got player responses for video "aQvGIIdgFDM" instead of "7XcWhiPz57I")
WARNING: [youtube] Private video. Sign in if you've been granted access to this video
WARNING: Video should already be available according to extracted info
[wait] Waiting for 00:00:00 - Press Ctrl+C to try now
[wait] Wait period ended; Re-extracting data
[youtube] Extracting URL: https://www.youtube.com/watch?v=7XcWhiPz57I
[youtube] 7XcWhiPz57I: Downloading webpage
[youtube] 7XcWhiPz57I: Downloading ios player API JSON
[youtube] 7XcWhiPz57I: Downloading android player API JSON
WARNING: [youtube] Skipping player responses from android clients (got player responses for video "aQvGIIdgFDM" instead of "7XcWhiPz57I")
WARNING: [youtube] Private video. Sign in if you've been granted access to this video
WARNING: Video should already be available according to extracted info
[wait] Waiting for 00:00:00 - Press Ctrl+C to try now
[wait] Wait period ended; Re-extracting data
[youtube] Extracting URL: https://www.youtube.com/watch?v=7XcWhiPz57I
[youtube] 7XcWhiPz57I: Downloading webpage
[youtube] 7XcWhiPz57I: Downloading ios player API JSON
[youtube] 7XcWhiPz57I: Downloading android player API JSON
WARNING: [youtube] Skipping player responses from android clients (got player responses for video "aQvGIIdgFDM" instead of "7XcWhiPz57I")
WARNING: [youtube] Private video. Sign in if you've been granted access to this video
WARNING: Video should already be available according to extracted info
[wait] Waiting for 00:00:00 - Press Ctrl+C to try now
[wait] Wait period ended; Re-extracting data
[youtube] Extracting URL: https://www.youtube.com/watch?v=7XcWhiPz57I
[youtube] 7XcWhiPz57I: Downloading webpage
^C
ERROR: Interrupted by user
```