The "Radeon RX 7700 XT Gaming OC (12 GB)" graphics card from Gigabyte is fundamentally compatible with a Ryzen 7 7800X3D, as both components are based on the latest AMD technologies. The combination of a powerful graphics card and a modern processor such as the Ryzen 7 7800X3D offers good performance for demanding games and applications. However, it is important to ensure that the system has sufficient RAM and a suitable power supply to utilise the full performance of both components.