It seems like it'd be way less painful to just count your calories.
Every diet method seems to try to avoid doing so. Modern tools make it easier than ever. You will not lose weight unless you run a calorie deficit.
Starving yourself every other day is a way to do it, but it also seems like an unnecessarily painful way to do it.
1. Losing weight
2. Health benefits. Like clinical intervention in diseases driven by inflammation as mentioned in the article.
There is some evidence that healthy person not losing weight would get other health benefits as well. The basic research is seems to be quite convincing. Animal studies show that intermittent fasting or calorie restriction helps. The caveat is that the effect diminishes when the size of the animal increases. It's unclear how beneficial following these regimes as normal diet would be for humans. That's why it's not recommend yet.
Eat less during the day on the days you go to a restaurant.
though it definitely doesn't solve your limited menu point, I've always found getting 70% or so of my calories from soylent to be way more sustainable than eating the same regular foods every day.
Or just find a really similar food item in your calorie tracking software of choice.