I surely think it has some strategy to it, but I feel like a puzzle has to have an optimal solution, while this one can be "solved" in a variety of different ways, so I'm not sure if that would be a very descriptive tag...
Portal is a puzzle and it still has multiple solutions. Your game has a goal of filling the left bar with collecting gold. And I would say that you game is about optimization of producing it. Puzzle may not fully describe the game but is definetely one of the tags.
