I had 3 dogs spawn on the initial point before rotating the tile. As there was no path to the Dreamer before rotation I kept them all together on the spawn point. When they all reached me on a bone space I did the tame action. I assumed that after taming one I then needed to kill the other 2 even though they were in the same space.
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Unless you Tame or Kill them, the other two Dogs remain in the Dreamscape and act during the Dreamscape phase. But remember that no new Dogs will spawn, as you Tamed one of them already.
Or you can tame them all one by one, as we did ;) Nowhere is it said that other dogs cannot be tamed either.