What is the conflict in From the mixed files of mrs basil e frankweiler?

The main conflict in "From the Mixed-Up Files of Mrs. Basil E. Frankweiler" revolves around Claudia and Jamie trying to solve the mystery of the Angel statue's origins and prove that it was created by Michelangelo. Along the way, they face challenges such as evading capture, managing their limited resources, and developing a deeper understanding of themselves and each other.