I intend to compile Visual Studio Code on my own to be able to redistribute it. But I still don't know whether I could do that. So may I know if the compiled version uses the MIT License or Microsoft's license which prohibits redistribution?
This is explained in issue #60 in the vscode github repository.
In short, the vscode sources are available under the MIT license, but the Microsoft-branded binaries are distributed under the more restrictive Microsoft license.