It is most certainly a real manual transmission
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...as has been every car I've owned since 1995.
It's one of the reasons I bought the car and model I did because it's one of the few 2023 models being offered in the U.S. market with three pedals, and possibly the only one that can still be purchased for under $30,000, with some legitimate performance (1.6T 201 hp) and higher-end interior/exterior features. Plus, I just think it looks really snazzy!