Bromance <3

Cody Song wants to buy Zi Song chocolates for Valentine's Day. Cody Song has \(\tan^8\frac\pi{24}+\tan^8\frac{5\pi}{24}+\tan^8\frac{7\pi}{24}+\tan^8\frac{11\pi}{24}\) in dollars. But, chocolates cost \(\$19204\) each (they're gourmet). How many chocolates can Cody buy Zi Song?

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