I remembered! The name of that game is: TAP! DIG! MY MUSEUM!
Although it is a mobile game, this game is great. The game mainly consists of two contents:
1. Go to various parts of the world to collect fossils.
2. Expand the museum.
I remember that the game included fossils of various types of dinosaurs, the largest of which was the Brachiosaurus, which almost filled the entire exhibition hall.
Your game is great too. But the museum exhibits are all purchased directly.
Perhaps add to the process of collecting these exhibits, such as setting off on an expedition to hunt for treasure, or attending auctions around the world to purchase exhibits.