This paper presents an exact solution for the stabilizer Rényi entropy (SRE) in the dual-unitary XXZ model, focusing on long-range nonstabilizerness. The study investigates how quantum magic, or nonstabilizerness, evolves under the dynamics of the dual-unitary XXZ model, which is a type of integrable quantum system. The SRE is a measure of nonstabilizerness, quantifying the amount of quantum magic in a quantum state. The paper uses the ZX-calculus, a graphical formalism for tensor diagrams, to derive exact expressions for SRE after short-time evolution and for long-range SRE at all times and Rényi parameters for a specific partition of the state. The dual-unitary XXZ model is a special case of a dual-unitary circuit, which is a type of quantum circuit where the evolution is dual to the measurement process. The model is defined by a specific set of gates that are local and unitary, and it is known to be integrable, meaning it has an infinite number of conserved quantities. The paper shows that the dual-unitary XXZ model can be used to study the long-range nonstabilizerness of quantum states, which is the amount of magic that cannot be removed by short-depth quantum circuits. The study uses the ZX-calculus to simplify the tensor network contractions required to compute the SRE. The ZX-calculus provides a set of graphical rules for manipulating tensor diagrams, which allows for the efficient computation of complex quantum states. The paper derives exact expressions for the SRE in the dual-unitary XXZ model, showing that the long-range SRE can be computed exactly for all times and Rényi parameters for a specific partition of the state. The results are verified numerically for low Rényi parameters and accessible system sizes. The paper also discusses the implications of these results for the study of quantum magic and nonstabilizerness in many-body quantum systems. The results provide new insights into the generation of magic in quantum systems and open up new avenues for studying nonstabilizerness using the ZX-calculus. The study highlights the importance of nonstabilizerness in quantum computing and its role in achieving quantum computational advantage. The results are expected to be useful for the development of quantum algorithms and the study of quantum many-body systems.This paper presents an exact solution for the stabilizer Rényi entropy (SRE) in the dual-unitary XXZ model, focusing on long-range nonstabilizerness. The study investigates how quantum magic, or nonstabilizerness, evolves under the dynamics of the dual-unitary XXZ model, which is a type of integrable quantum system. The SRE is a measure of nonstabilizerness, quantifying the amount of quantum magic in a quantum state. The paper uses the ZX-calculus, a graphical formalism for tensor diagrams, to derive exact expressions for SRE after short-time evolution and for long-range SRE at all times and Rényi parameters for a specific partition of the state. The dual-unitary XXZ model is a special case of a dual-unitary circuit, which is a type of quantum circuit where the evolution is dual to the measurement process. The model is defined by a specific set of gates that are local and unitary, and it is known to be integrable, meaning it has an infinite number of conserved quantities. The paper shows that the dual-unitary XXZ model can be used to study the long-range nonstabilizerness of quantum states, which is the amount of magic that cannot be removed by short-depth quantum circuits. The study uses the ZX-calculus to simplify the tensor network contractions required to compute the SRE. The ZX-calculus provides a set of graphical rules for manipulating tensor diagrams, which allows for the efficient computation of complex quantum states. The paper derives exact expressions for the SRE in the dual-unitary XXZ model, showing that the long-range SRE can be computed exactly for all times and Rényi parameters for a specific partition of the state. The results are verified numerically for low Rényi parameters and accessible system sizes. The paper also discusses the implications of these results for the study of quantum magic and nonstabilizerness in many-body quantum systems. The results provide new insights into the generation of magic in quantum systems and open up new avenues for studying nonstabilizerness using the ZX-calculus. The study highlights the importance of nonstabilizerness in quantum computing and its role in achieving quantum computational advantage. The results are expected to be useful for the development of quantum algorithms and the study of quantum many-body systems.