I want to try a GLP-1 but I do not struggle with overeating or food noise

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So I have struggled with my weight my entire life. I am 5'4" and usually sit between 200 and 250 lbs. The only time I ever lost weight was in my early twenties when I ate practically nothing and worked out constantly. I eventually gained it back, but after fixing some bad habits, I lost 30 lbs and now I am completely stuck at 230.

The thing is, I do not really have food noise. I only eat when I am hungry, I get full fast, and I get decent steps in at work. Getting to a normal weight just feels impossible at this point. I feel like asking my doctor for a GLP-1 is cheating since I do not overeat. Has anyone else without food noise tried these medications and actually had success?