To effectively utilize REBa2Cu3Oy material in various industrial applications, it is crucial to achieve high-quality material with consistent properties. Recent reports indicate that the Infiltration Growth (IG) process, although promising, demonstrates less uneven performance when compared to melt-textured materials. This study focuses on the recently developed single-grain ternary (Gd0.33Y0.13Er0.53)Ba2Cu3Oy material. A total of 36 small pieces were carefully selected for analysis, utilizing scanning electron microscopy (SEM) to examine microstructures, and superconducting transition temperature (Tc) and critical current density (Jc) at 77 K using a SQUID magnetometer. Magnetization results indicate consistent Tc values across the entire sample, while spatial variations in Jc values were observed. Specifically, Jc values no clear trend along the a/b-axis and decreased along the c-axis as the distance from the center increased, correlating with microstructural variations observed through scanning electron microscopy. Quenching experiments conducted on (Gd0.33Y0.13Er0.53)2BaCuO5 (RE211) pellets at 880°C and 1050°C revealed that the heating cycle had a significant impact on both particle and pore sizes in the RE211 secondary phase pellet. Larger pore sizes at the periphery were attributed to the fusion of RE211 secondary phase particles before Ba-Cu-O liquid infiltration. These findings emphasize the importance of further processing optimization to achieve uniform bulk materials for the IG process. Such optimization is crucial to produce uniform bulk superconducting material, essential for everyday applications.