My application was received on November 09, 2020. According to GCMS notes they entered my application details on March 03, 2021 and generated a temporary file number. So you can get an idea with this information. It could be faster for you if you applied recently as it was all digitized. Keep trying contacting IRCC. One thing more, there is nothing much you can do with TFN it all depends on AOR, that is when an officer starts processing your application in real.