Projectile excitation to the $\mathbf{2s2p}$ $\mathbf{^{3}\!P}$ and $\mathbf{^{1}\!P}$ autoionizing states in swift collisions of He-like carbon and oxygen mixed-state $\mathbf{(1s^2, 1s2s\,^{3,1}S)}$ ion beams with helium

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