Good advice here OP.......you have to call the ATF and/or NFA branch and tell them what this guy is doing.
I had a similar problem back in 2016 and the NFA branch employee did something (I will never know) but the dealer called me THAT AFTERNOON to say come pick up your suppressor.
Brief detail, never called me when he received the suppressor from the manufacturer and he received approval as the transferee to sell it to me from the ATF. Two months went buy after he had received approval and when I called he said "oh, we have had it for quite some time now".
One year later, still no Stamp and I call the NFA........they said it was approved and he should have received it a couple of weeks ago at the latest.
Called the dealer........"we never got it".
I called the NFA and told them........agent said "mail in another form and we'll sign it immediately and send out a new Stamp".
Called NFA employee a month later and she said "we sent out the second one as soon as we received your new application three weeks ago".
Called dealer, no one in, left message...........no return call for a few days.
Called the NFA employee I had been dealing with and she said "ok, I'll get back with you".
THAT AFTERNOON, jackass dealer said "come in we have your Stamp".
ETA: Roughly took me FIFTEEN months to get the suppressor.........RIDICULOUS!!!