Compile Linux kernel to wasm. So it can run inside a browser with a very nice performance.
Write FS drivers to enable seamless caching and remote data storage, so you can shutdown your system on PC and boot from laptop. Or even some kind of hibernate mode, so you can just continue from where you left off.
Write graphics drivers using WebGPU and other technologies, enabling very nice performance. May be not perfect for AAA games, but for anything less demanding it'll work.
So basically make a proper Linux port for browser and then reuse all the applications already built.