GLP-1 or different route?

I am a 30yr old female, 5’4” and 145lbs. I’ve done some strict meal plans this year and lost 3lbs in 3 months and have since gained it back even after trying to go back on it or count calories. I live a healthy lifestyle and exercise regularly, eat fairly well, etc. I cannot lose weight. I also have a very inflamed gut. I know I have leaky gut from a GI map I did a few years back that I never fully healed.

My Dr has me on a supplement plan and I take NP thyroid. He’s suggested I do food sensitivity tests or another GI map, but I’m wanting to try for another baby this next year and am starting to panic because I my weight is not where I want it to be and I don’t want to go through the process of gaining more weight I cannot lose. He suggested a GLP1 if I’m not wanting to spend more on testing.

I’ve really only heard positive things about GLP1s for hashimotos. For some reason I feel unsure of it. Maybe it’s the stigma or maybe I’m just feeling like I’ve failed, but convince me it’s an excellent route or give me suggestions of what I can try next. I’m exhausted and just want to feel a little more like myself again.