In C$++,$ typedef is used to create an alias for a data type, allowing a programmer to use a different name for a type, which could make the code more readable and easier to understand. Consider a scenario in which you are working on a large$-$scale software project involving complex data structures and multiple libraries. Discuss the advantages of using typedef in a project. Consider factors like code readability, maintenance, collaboration among a large team, and the impact on debugging and error tracing.