An untangling algorithm

Sometimes when you get into a tangle a tried and tested way to proceed is to step back, list the tangles as best you can, step back again, look at your tangle description as if you were looking at an expensive piece of art in an art gallery. Take a break. Take another peek, don't get scared or overwhelmed. Think about how you could isolate the different tangles, which no doubt all affect each other. They often do. Then create a minimal example. After which you will be several steps closer to your goal. You might need to create several of these.