Since BeamNG.drive is a 55GB+ game requiring significant RAM and a dedicated GPU, you cannot run it directly in a standard browser. Cloud services act as a "middleman," running the game on a powerful server and streaming the video to your school device.
While the official link is dead, archive.org hosts a WebAssembly (WASM) port of this demo. Search: "Archive.org BeamNG Grid Demo." beamng drive unblocked at school free no download better
Play BeamNG.drive Unblocked: How to Experience Ultimate Physics Free & No Download Since BeamNG
However, the school environment forbids this. The standard argument is bandwidth and distraction. But the deeper reality is that BeamNG.drive is a resource hog; the legitimate version requires a powerful PC and a 20GB download. Consequently, the student is not looking for the "real" game. They are looking for the ghost of it. Search: "Archive