The third PIICQ Workshop will take place in Angers, from the 22nd to the 26th of May 2023. The purpose of this 5-day event, is to bring together researchers interested in topics of integrable probability, to reinforce interactions and establish collaborations between French and international institutions on the subject of randomness and integrability in a broad sense. This edition will focus on topics such as Riemann-Hilbert problems, special functions, orthogonal polynomials, enumerative and algebraic combinatorics, but also on random growth models, random maps and interacting particle systems.