How to preconfigure the "unspecified" kit to be used?

I'd like to preconfigure a kit to work out of the box with a new github codespaces instance so it doesn't ask every contributor every time - because the poorly named "unspecified" kit works just fine. Looked through the settings, but didn't find anything relevant. Did I miss it?

Start by checking the VS Code CMake Tools settings and kit-selection documentation, then investigate how a GitHub Codespaces instance initializes the "unspecified" kit. Done means contributors can configure that kit as the default without being prompted on each new instance.

Written by the indexing model from the issue text.