AFAIK Gaussian Splatting is somehow connected to NeRFs (neural radiance fields), so job of turning multiple 2D images into 3D scene. Actually tried doing something like this recently for drone navigation (using older point cloud methods) but no luck so far.

Can anyone who read this suggest something to use to scan room geometry using camera only in real-time (with access to beefy NVIDIA computer if needed) for drone navigation purposes?

have you tried ORB SLAM v3?