I'm stuck in a cycle. I binge, the next few days ill eat healthy again and then binge again. How can I stop?

Adjust your pattern. Try eating healthier but not as strict as your 'good diet' for two weeks. Then adjust again dropping another 'bad food'. Build on your success. Keep a food diary and review with your healthcare provider.
Seek help. please seek professional help to help you understand more about this and to stop this. It can lead to many problems such as erosion of teeth, electrolyte problems, etc.