Cool game! I was also thinking about mobius strips during the brainstorm phase but couldn't come up an interesting idea, and this is a very fun way to utilize the concept. The movement and rotations around the loop was very smooth and intuitive, I can imagine that being quite the headache to solve.
I really liked the detail that buildings across from each other could be visited in any order, it made you try to find combinations of buildings that were often visited together.
I think the the game felt a little slow in its progression (especially in the beginning) which I think is partly due to the size of the loop, I found myself mostly placing buildings towards the start and end of the loop as that gave me the best overview of things and it made the majority of the loop just dead space where I had to wait ages before the guests would reach the end.
I think a way to check where each guest in the list is currently at in the loop would also help, maybe clicking them would take you to their location. Another quality of life feature I would have liked is showing how many of each building you currently have, when the strip started getting fuller and the guest list longer it was difficult to know which kinds of buildings were actually under capacity.