Repository: yt-dlp
Issue: [TwitchVideos]: `Unable to log in. Twitch said: Please update your app to continue`
Labels: account-needed,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

_No response_

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

Attempting to log in for Twitch VOD downloads from a channel's `<channel>/videos` page results in the following error:
```
ERROR: [TwitchVideos] <channel>: Unable to login. Twitch said: Please update your app to continue
```

Logging in is necessary to download subscriber-only VODs. The channel I am trying this on is [MOGRA](https://www.twitch.tv/mogra/videos?filter=archives).

### 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
[debug] Command-line config: ['-vU', '-u', 'PRIVATE', '-2', '570279', 'https://twitch.tv/mogra/videos?filter=archives']
Type account password and press [Return]:
[debug] Encodings: locale cp1252, fs utf-8, pref cp1252, out utf-8, error utf-8, screen utf-8
[debug] yt-dlp version nightly@2024.03.07.232716 from yt-dlp/yt-dlp-nightly-builds [96f3924ba] (win_exe)
[debug] Python 3.8.10 (CPython AMD64 64bit) - Windows-10-10.0.22631-SP0 (OpenSSL 1.1.1k  25 Mar 2021)
[debug] exe versions: ffmpeg 6.1.1-full_build-www.gyan.dev (setts), ffprobe 6.1.1-full_build-www.gyan.dev
[debug] Optional libraries: Cryptodome-3.20.0, brotli-1.1.0, certifi-2024.02.02, mutagen-1.47.0, requests-2.31.0, sqlite3-3.35.5, urllib3-2.2.1, websockets-12.0
[debug] Proxy map: {}
[debug] Request Handlers: urllib, requests, websockets
[debug] Loaded 1836 extractors
[debug] Fetching release info: https://api.github.com/repos/yt-dlp/yt-dlp-nightly-builds/releases/latest
Latest version: nightly@2024.03.07.232716 from yt-dlp/yt-dlp-nightly-builds
yt-dlp is up to date (nightly@2024.03.07.232716 from yt-dlp/yt-dlp-nightly-builds)
[TwitchVideos] Downloading login page
[TwitchVideos] Logging in
ERROR: [TwitchVideos] mogra: Unable to login. Twitch said: Please update your app to continue
  File "yt_dlp\extractor\common.py", line 729, in extract
  File "yt_dlp\extractor\common.py", line 635, in initialize
  File "yt_dlp\extractor\twitch.py", line 109, in _perform_login
  File "yt_dlp\extractor\twitch.py", line 90, in login_step
  File "yt_dlp\extractor\twitch.py", line 66, in fail
```