Count me in for the no-deprivation bandwagon!
Take a look at your plan. Not just now, but since you started losing weight. Was it, at any point, restrictive? If so, you might have suppressed the idea that one day your diet will be "finished" and you could be bingeing out of a sense of relief that the restrictive part was over?
Also, can you think of any underlying emotional reasons for the binge? I have been a binge eater for many years. I lived alone for so long that I could just order a Domino's delivery that could feed 4 people and eat it in one sitting, leaving myself feeling so uncomfortably full that I was in pain, I felt sick, and I started showing cold symptoms like runny nose, bleary eyes and a headache. I never could understand WHY I would do it. It seemed like my life was absolutely fine, but underneath it all I was an absolute people pleaser, and had let everyone walk all over me for so long that it never even occurred to me that how I was living was detrimental to me, or that it was connected to the bingeing. In the end, things got so bad I ended up with a counsellor. I started setting boundaries with people and after a while, I no longer felt the need to binge. It'll always be with me, that possibility, and I've just got over a small-scale depression-related binge, but I knew what I was doing. Maybe see a counsellor, just in case there's anything you're missing? They can go through it with you in a safe, non-judgemental, confidential environment. It's amazing the powers our minds have to gloss over problems and normalise things we don't like but don't know how to deal with. Us humans are so easily blinkered. I'm not saying that's always the reason, just an avenue that might be worth exploring.
Another thing is: do you think you do it purely because you love food? Because it tastes good and makes you feel a certain way? Food does taste good! Ben & Jerry's Cookie Dough ice cream is brilliant. Donuts are tasty. Snickers bars are pretty damn good. But if they're causing you this much turmoil, they really need to be put in their place. I had this realisation one day, and I hope I can verbalise it the way I'd like to. IT'S ONLY FOOD. It's not an awesome, life-changing miracle like finding a million bucks stashed in your freezer. It's essentially just a bunch of molecules joined together that you put into your mouth. Big whoop-de-doo. It's just a load of ingredients that have been grown in the ground and/or manufactured in a factory, mixed together, and put into a container. Quite benign stuff, really. Feel free to look at food, not as the big bad ogre it can look like, but as pretty boring when you think about it. Try to look at it with disdain. Just like the age-old advice about speaking to people who intimidate you (imagine them wearing a ballerina costume and big, floppy, bunny ears or something), you need to show yourself that you really are above it. It's nothing special. It's a tub of ice cream! So ****? It's not like kryptonite, or diamonds or the Higgs Boson or whatever. Just food. And you only deserve the best! So do feel free to be quite disdainful of it if it seems too powerful. It's really not. It's just food.
I hope that doesn't come across as minimising the problem, that is ABSOLUTELY NOT what I'm trying to do. It's just a feeling I have tried to develop around former "trigger" foods to make myself feel superior to my enemy

And it's helped me. I like to buy tiny boxes of about 4 chocolates from super-pricey, fancy chocolate shops now and again, because they are so beautiful that I can look down my nose at a bar of dairy milk quite easily. I am superior. And so are you!
And finally, sorry for being so wordy, but I've struggled with binge eating for years myself. There are so many hormonal things at play it is NOT a "lack of willpower". I hope you can start to make peace with food. There's always the possibility you'll binge again. Let that be ok. Have the love for yourself to know it's not that there's anything wrong with you, it's just that you like food / are an emotional eater / have messed up blood sugar / had a bad day / find the habit hard to break / know your body's hormones can be set against you at times / whatever, delete as applicable.
Thankyou for posting, you are by no means alone.
*hugs*