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Why use pointers?
There are things you'll want to do that will eventually require pointers. For example, as soon as you want a type that contains a reference that could be rebound, you need a pointer.
If you want to implement polymorphism you'll need pointers. If you instead want type erasure, you'll need pointers to implement your type erasure container.
Sure it's possible to implement a lot without pointers, but the code will be harder to write and will probably be slower.