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Computer search proves that you can always complete at least one line in standard-size Tetris: https://a3nm.net/blog/adversarial_tetris.html

This is true even if the piece order is specifically chosen to make it difficult for you rather than randomly, and even if you are only allowed to rotate and drop pieces without slides or spins after they drop. Via https://www.metafilter.com/195140/Beastly-AIs-known-to-let-the-piece-mmmdrop