About "a way to get the contents out of a text file using advanced drive service", unfortunately, in the current stage, it cannot be achieved. If the file you want to retrieve the content is not Google Docs, you can do it using files.get with "alt=media". For example, when the following script is run,
var res = Drive.Files.get(fileId);
the metadata of file is retrieved. On the other hand, when the following script is run,
var res = Drive.Files.get(fileId, {alt: "media"});
Status 200 and the file content are returned. But this is shown as an error.
And also, about "Drive.Files.export(fileId, mimeType)", the returned value is "void".
From above situation, I think that in the current stage, the text file might not be able to be downloaded by Advanced Google Services. So when Drive API is required to be used, as a current workaround, the file is required to be downloaded using UrlFetchApp as mentioned by Dimu Designs's comment.