And when we want to use a term to describe all real things that exist, we use the word “Universe”
Maybe you do, but that is NOT the standard terminology in cosmology these days.
The words side, round, and circle can be found in the dictionary. Those words are agreed upon
Dictionary definitions are for common usage and are generally only first approximations. Technical definitions (in this case, in mathematics) take priority in technical discussions.
This gets back to right definitions vs wrong definitions. This taxicab definition sounds like a wrong definition.
No, it is a *different* definition of the concept of distance. That leads to a different notion of the concept of a circle.
A definition isn't 'right' or 'wrong'. it is either 'useful' or 'useless'. There are contexts where the taxicab definition of distance is *useful*. Not all geometry is Euclidean geometry.
Then you should have no problem providing a definition of the term “all that exist”! Because you never get rid of such a word unless it is replaced by something else.
Currently, that notion is closest to the notion of a 'multiverse', but that isn't quite correct either.
Even in classical thought, though, there was a distinction between 'all that exists' and 'everything physical that exists', which the universe typically being the latter. Usually, God was not considered to be part of the universe, but still to exist. Even the more general term 'creation' still excluded God from consideration.
Part of the difficulty is that the term 'universe' was used for all matter (energy wasn't discussed much in earlier philosophy), so the question of whether that is 'everything that exists' is a question of whether physicalism is true.