Is needle mesotherapy FDA approved? (Photos)

I have horrible hereditary under eye bags, I want them removed but surgery is expensive and my last resort. I have read up on needle mesotherapy and I am very interested in whether this can help me with my problem. I can't find any where whether mesotherapy is FDA approved yet, as I know based on research it wasn't in 2008. If anyone has an suggestions for what I can do to get rid of these bags I would be forever grateful and as much information of mesotherapy as possible!! Thank you!

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