No, we dont know it works. We have anecdotes. Thalidomide comes to mind....
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Hydroxychloroquine was approved for medical use in the United States in 1955. I strongly suspect that broad use over the past 65 years would have revealed whether it can cause birth defects.
But nice try.
There is a difference between can be taken safely and it works.
Thalidomide left a stain on the medical profession that has lasted for decades. But you new that, didnt you?