''A beginning'' Dog Tag Dove making a sound but not giving me the Dog Tag

Did you manage to fix it? I had the same problem but managed to get the dog tag after multiple attempts by standing in different places on the balcony. I guess, by looking at the Morse code station again you progressed the EE further so a dove stopped appearing. If you didn't find a solution, i think your only hope is EA player support. And, maybe, some later EEs' rewards can be acquired with somebody else doing the EE. But maybe the game remembered that you finished this EE, and wouldn't stop you from getting rewards from later steps