Unable to authorize ANY external Google Apps Script scope on any ANY file

For some time now I'm unable to give any new OAuth authorization in Google Apps Scripts from my Google Account for a scope that is outside the file I'm working from (.currentonly works, everything else doesn't).

It asks for a Google account I want to use and after selecting the account it shows:

This app is blocked

This app tried to access sensitive info in your Google Account. To keep your account safe, Google blocked this access.

See screenshot:

The screen with the requested permissions overview is not even shown. This happens for every new or old Spreadsheet file I try to add the permissions to. But Spreadsheets that already got the OAth before this stopped working are regularly updated with project triggers.

Here is my manifest file:

{
  "timeZone": "Europe/Paris",
  "dependencies": {
  },
  "exceptionLogging": "STACKDRIVER",
  "oauthScopes": [
    "https://www.googleapis.com/auth/spreadsheets.currentonly", // this works
    "https://www.googleapis.com/auth/drive", // this doesn't work
    "https://www.googleapis.com/auth/spreadsheets" // this also doesn't work
  ],
  "runtimeVersion": "V8"
}

Everything works when I try to do the same from a different Google account. Because of this I think it has something to do with the whole Google account settings.

I tried enabling Less secure app access but it didn't help.

Is is possible that the access from unverified 3rd-party apps is disabled in that account? How can I enable it again?