You can run your project with the Atomic Editor binary:
AtomicEditor.exe --player --project "C:\Dev\My Projects\AtomicProject\"
./AtomicEditor.app/Contents/MacOS/AtomicEditor --player --project "/Users/jenge/Dev/MyProjects/AtomicProject/"
There is a guide available for using VSCode and Atom for editing/compiling project TypeScript on the wiki: https://github.com/AtomicGameEngine/AtomicGameEngine/wiki/Using-TypeScript-with-External-Editors
This could likely be extended to Sublime Text. There is also an AtomicTool binary which shares the ToolCore functionality with the editor, so it would be easy to hook up deploying with that instead of going in the editor to do so (for command line deployments)