It probably won't. But better safe (and legal) than sorry :)
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Please note that the name 'Tetris' is trademarked. Be careful, especially when earning money with this, because the Tetris Company can sue you. That you're offering the game for free does not make a difference. I would advise to protect yourself and rename it.
And thank you for the Let's Play of course, great job! Amazing how you managed to complete the game in the 2 cheating modes it includes.... :P Good lesson for me. Usually if played by only 1 player, you fail the game - so you actually need to play with at least 2.