Not sure how much your tummy can hold, but the trick with keto, and other low-carb diets is to actually limit your meat/protein to 3oz, 3 times a day, and fill up the rest of the time on green veggies (add some nuts or cheese to round out your protein goal}. Test it out to see how much green stuff you can eat after eating 3oz of protein. If only a bite or two, then eat your protein and veggies separately.
3 oz of raw spinach and 3 oz cooked spinach look very different in the bowl.. see which one you can eat more of... I mention spinach, specifically, because I'll eat about 4oz cooked, and stuff is like a laxitive for me. (I do add a teaspoon of oive oil and a splash of vinegar and some spices for flavor). Green veggies need a little fat to help you absorb the fat-soluble vitamins.