Depends on how the combo works. Is there an element of skill involved? If it’s like a rhythm game I would just call it a puzzle/rhythm game. Otherwise it’s just a puzzle game with extra steps.
That was in my OP though, that most games can be thought of as puzzle games with extra steps.
EDIT: I would agree that Tetris is not a puzzle game.
This is quite interesting to me.
My main point of this post is to highlight how the genres and categories we have for games breaks down upon examination and I guess changes over time.
I would say that most people either have or would call Tetris basically the most popular puzzle game.
When it came out it was basically the titular, archetypal ‘puzzle’ game.