is the dog ever gonna go to another location its may 20th now and so far he has only visited the moon he has not left the tower yet since its completion and there are still 2 secret triumphs under secrets which im assuming has to do with the dog but no way to know for sure since last 2 are still greyed out. are those 2 secret triumphs completely unrelated to the dog or something.
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He's been at a few different places. First the tower, then the cosmodrome. Next the EDZ and then the moon. This week, since reset today, he is at the dreaming city. There are plenty of guides online to help you if need be.