To get the encoded base64 string in the first place from Google Drive files:
GS
var response = UrlFetchApp.fetch('https://googledrive.com/host/fileId/name.png');
var blob = response.getBlob();
var bytes = blob.getBytes();
var base64String = Utilities.base64Encode(bytes);
Logger.log(base64String);
// now copy and paste into html
HTML
<img src="data:image/png;base64, <base64String>" alt="img name" />