Let $y=y(x)$ be the solution curve of the differential equation $(1+\sin x) \frac{\mathrm{d} y}{\mathrm{~d} x}+(y+1) \cos x=0, y(0)=0$. If the curve $y=y(x)$ passes through the point $\left(\alpha, \frac{-1}{2}\right)$, then a value of $\alpha$ is :
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