What are the differences between proxy, wrapper or a façade classes

Question

What are the differences between proxy, wrapper or a façade classes

They all seem to be the same to me, they take an implementation, encapsulate it and then methods are

Answer 1

Many design patterns have the same structure, as you have seen.

The difference is in the reason for their existence - the why of their existence.

A proxy is there to act as a local object representing a remote one.

A wrapper is there to wrap an existing object to extend/change its behavior.

A façade exists to simplify a complex API and expose a simple one instead.