This is such a fun goofy concept Logan, I love it! I think this captures something that can happen in board games, where it feels kinda pointless to plan ahead because by the time it gets back to your turn the state of the game will be so different that your plan from last turn is no longer relevant. But it does lead you to a fun situation of making plans in a way that factors in a certain amount of chaos. And I can think of no better chaos than 100 dogs XD
I wonder how this would feel zoomed out a bit more, so you can attempt to plan a route through the maze more easily. Also wouldn't mind doggos flinging me around the course a bit more, they're pretty gentle with how they move you as is. Could also leave little presents on the course that you get stuck in or something haha