In a digital library management system, a feature tracks the number of new book registrations on a particular day. Each time a new book is registered, a counter is incremented to reflect the total count of books registered that day. Initially, no books are registered, so the counter starts at $0.$ You are tasked with implementing this feature by creating a function that mimics the book registration counter.

Write the definition of a function named bookRegistrationCounter that receives no arguments and behaves as follows: the first time it is invoked, it prints $0,$ indicating that no books have been registered yet. The next time it is called, it prints $1,$ then $2,3,$ and so on$,$ each number representing the total count of books registered up to that point.

Note: You will need to only write the function definition according to the type specifications. Assume all the header files for the required libraries have been included.