This paper presents the 3D metric survey of the Genete Leul Palace in Addis Ababa, carried out by the Geomatics Group of Politecnico di Torino within an international cooperation project aimed at supporting the restoration of this significant heritage site. The research explores the application of an integrated and rapid survey methodology combining Terrestrial Laser Scanning (TLS), SLAM-based Mobile Mapping Systems (MMS), and UAV photogrammetry, adapted to a context characterized by logistical, regulatory, and infrastructural constraints. Despite challenges such as customs delays, limited equipment availability, and restricted UAV operations, the survey was successfully completed within a short timeframe while ensuring metric accuracy suitable for restoration purposes. A topographic control network enabled the integration of multi-sensor datasets into a consistent reference system, supporting the generation of reliable 3D models and 2D architectural drawings. The results demonstrate that hybrid workflows can effectively balance accuracy and efficiency, even in complex and time-constrained environments. The study highlights the importance of context-aware strategies and collaboration with local partners as key factors for success. Ultimately, the project confirms that advanced geomatic methods can provide sustainable, replicable solutions for cultural heritage documentation in developing countries, thereby promoting knowledge transfer, preservation, and socio-economic development.