This study analyzes an approach to augment PET imaging accuracy with the integration of quantum entanglement (QE) information to enhance the true coincidence rate. Positron annihilation events generate gamma rays in a singly entangled state with scattering dynamics discernable from unentangled gammas, such as random (and potentially scatter) coincidences. In a GATE simulation, a prototype 2-panel CZT PET system and positron source are modeled with a QE physics model from GEANT4. The relative azimuthal scattering angle (Δϕ) distribution for non-and 1-mm binned gamma ray hits are computed. Additionally, a set of random-only coincidence data is created. Results show that 1 mm crystal bins yield accurate Δϕ computation with an MAE of 6.8, confirming the physical significance of the filtering technique. Filtering the true-and random-only sets with varying Δϕ windows indicate proportionally greater retention of true events compared to random events: ~1.37 for the unbinned set. This study showcases the integration of QE-GEANT4 into GATE PET studies, and the feasibility for pixel-dense (with high-resolution depth of interaction information) PET scanners to extract such information.