If you want to run you own version of this - try this https://hub.docker.com/r/linuxserver/code-server, its very easy to configure. linuxserver has created code-server - which is vscode running in container. I have been running it in my personal network for nearly a year now. It great because it lets you code from any device. Sometimes I use this to quickly script out things on my ipad and then execute whatever script I have created using Terminus.
These are two very different things. vscode.dev runs fully locally. It accesses files from your local disk, and doesn't need a network connection (after initial setup/asset caching).
code-server requires the backing server to be available at all times, and all editor features are pulled from the server via a websocket connection. You can pause and resume whatever you were doing from a different device.
