I wouldn't put much stock in Ayurveda or even worse, Traditional Chinese Medicine, except some of the treatments which have been proven to work. There's a reason why western medicine is superior - it follows evidence-based modern scientific and research principles, not hogwash.
Instead of “western” medicine, I prefer to call it “evidence based, tested with randomized controlled experiments, mechanism of action deduced” medicine. No data, no medicine. Even then, medicine is super hard since there is so much complexity in the human body and variations across populations, and experiments are extremely costly.
If that's the definition, then there are zero psychiatric drugs that can be classified as western "medicine", as we have yet to understand how drugs like anti-depressants intercourse with the mind ("the mechanism of action deduced").
"psychiatric diagnosis still relies exclusively on fallible subjective judgments rather than objective biological tests" -Allen Frances