This paper explores the historical evolution and contemporary applications of photogrammetry and laser scanning in cultural heritage preservation, focusing on the restoration of the Shush synagogue in Iraqi Kurdistan. It traces the development of documentation techniques, highlighting photogrammetry's pivotal role and the impact of the digital revolution. The case study of Project Shush illustrates the practical use of geomatics techniques, advanced 3D modeling, and collaboration with NGOs and authorities. The methodology outlines the use of technologies like terrestrial laser scanners (BLK360, Zeb-Revo) and UAVs, emphasizing their mobility and accuracy. Results detail the project stages, showcasing the creation of a detailed 3D model and the use of Unreal Engine for visualization. The conclusion emphasizes the importance of 3D documentation in cultural heritage and celebrates the success of the Shush synagogue restoration as a testament to technological advancements in preservation. Our research has shown that the joining of different 3D object documentation technologies significantly improves the quality and speeds up the workflow. Comparison of partial point clouds in software Cloudcompare on a case study of a smaller historic building showed differences in the internal structure in centimeters, while for the external parts that were covered with vegetation the differences reached up to decimeters.