Increase your salt intake while you are losing weight, and keep well hydrated when using the other med (a gliflozin, I suspect?) If it is a Gliflozin, then be careful with the keto since it likes to have some carbs to work on, and will devour muscle and protein if there is none around. I have found keto unecessary for my condition, and am using a low carb version of the mediterranean diet (Pioppi) to control my levels. It is easier than keto and not so demanding. As has just been said, this is a marathon, not a aprint. So you can afford to take some time to do things gently at first. Less trauma.
Keep a food log along with your meter readings. I use a spreadsheet for mine, and it allows me to gradually eliminate meals that spike me. It also produces a nice graph that I can show my doctor to show improvement since the trending functions work well to exaggerate this aspect, which impresses most GP's. I was also able to adjust my medication and reduce meds, and this also impressed my GP since he was supplying me with test strips on scrip, and I was able to justify him supporting my habit.