It's really complicated and I will say, OP, that like some others on here the only thing that has really helped me is Mounjaro - there's a piece in the Guardian today about how it helps people with binge eating disorders (but also discussing the dangers of it for people with restrictive eating disorders, and it's tricky because some people have both).
However, I do know that my binging - while triggered by a number of factors - was wildly exacerbated by restriction. Low carb, fasting and giving up sugar are particularly bad for people whose binges are prompted by restriction. Low carb was the scariest for me; the binging I did after three months of low carb was truly off the scale. That's not an uncommon experience. And it came for me after years on the diet-binge cycle which eventually got me to a point where even just thinking about restriction could trigger a binge.
Therapy didn't help me at all, but I did find that the intuitive eating approach clicked for me. You have to approach it with an attitude of abundance though, which is frightening. If your binges are triggered by restriction, you have to genuinely abandon all restrictions and dismantle every food rule in your head. It's hard to do. I never quite succeeded, but I could see how it works and made some progress.
However, I did go on Mounjaro in the end and now I can eat intuitively very easily and with no rules or restrictions without the battle in my head. I don't count calories or track carbs. My head is a lot calmer and I feel a sense of peace around food that I never have before. I know it’s the drugs of course that enabled me to leapfrog the process, but it is such a respite from what I used to feel. I also know that if I come off them, I will be back in it again.
A small step I always found helpful was to think every day about what I would add in to my diet. Some plentiful protein for example and maybe five different colours of fruit or vegetables. It didn't matter what I had on top of that, didn't matter if I binged on chocolate or crisps as well, but could I put those things into my day? Eating fresh food and getting protein in did help head off a binge sometimes. But I couldn’t approach it from the opposite way around - if I thought NO CHOCOLATE TODAY or only 50g of carbs or something like that, I was building up to a binge. The pressure was on and an explosion was inevitable at some point, whether that day or a week later or whenever it was - it was coming. It was exhausting trying to fight against it. I really feel for you.