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Already at plasma densities $\\rho_\\text{eh}$ below one hundredth electron-hole pair per \\textmu m$^{3}$, the Rydberg exciton absorption lines are bleached while their energies remain constant, until they finally disappear, starting from the highest observed principal quantum number $n_\\text{max}$. As confirmed by calculations, the band gap is reduced by many-particle effects caused by free carriers scaling as $\\rho_\\text{eh}^{1/2}$. 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