This paper investigates the generation of magic, a measure of non-stabilizerness or quantum magic, in quantum systems evolving under a specific quantum circuit. The authors focus on the dual-unitary XXZ model and use the stabilizer Rényi entropy (SRE) as a measure of magic. They derive exact solutions for SRE after short-time evolution in the thermodynamic limit and for long-range SRE at all times and Rényi parameters for a particular partition of the state. The exact solutions are obtained using ZX-calculus, a formalism for tensor diagrams that simplifies complex tensor contractions. The paper provides insights into the behavior of magic in the dual-unitary XXZ model and opens new avenues for studying non-stabilizerness using ZX-calculus. The results are validated numerically for low Rényi parameters and accessible system sizes, and the authors discuss the implications for other bipartitions. The work contributes to the understanding of magic in many-body systems and its potential applications in quantum computing.This paper investigates the generation of magic, a measure of non-stabilizerness or quantum magic, in quantum systems evolving under a specific quantum circuit. The authors focus on the dual-unitary XXZ model and use the stabilizer Rényi entropy (SRE) as a measure of magic. They derive exact solutions for SRE after short-time evolution in the thermodynamic limit and for long-range SRE at all times and Rényi parameters for a particular partition of the state. The exact solutions are obtained using ZX-calculus, a formalism for tensor diagrams that simplifies complex tensor contractions. The paper provides insights into the behavior of magic in the dual-unitary XXZ model and opens new avenues for studying non-stabilizerness using ZX-calculus. The results are validated numerically for low Rényi parameters and accessible system sizes, and the authors discuss the implications for other bipartitions. The work contributes to the understanding of magic in many-body systems and its potential applications in quantum computing.