GLP-1 receptor agonists - How weight loss injections work

Anti-obesity drugs, also known as obesity drugs or GLP-1 receptor agonists have been made popular by celebrities using them to lose substantial amounts of weight. But how do these therapeutics work and are there downsides to taking them?
References:
great summary, short article: www.nature.com/articles/d4158...
1 Zhang et al.: pubmed.ncbi.nlm.nih.gov/7984236/
2 Wilding et al.: pubmed.ncbi.nlm.nih.gov/35441...
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[@hybredmoon]

Thats neat, from a scientific point of view, but kinda horrifying from a normal perspective. A drug that treats a problem that almost everyone wants to fight, but you have to take it almost your whole life and because its hard to get it's costly. Seems like a pharmaceutical companies wet dream, which I bet means the safety testing isn't going to be the strictest thing. Besides that, obesity is a symptom of a deeper problem, if that problem isnt corrected, the issue isn't fixed. Just because you've found a way to suppress a symptom doesn't mean you're cured.