Automatic discovery of Language Servers

Currently each IDE needs to be configured for each Language Server implementation. It would be nice if there was a way for IDEs to automatically detect installed servers.

This is possible for Jupyter kernels, each Jupyter kernel installs its config in ~/.jupyter and VSCode can automatically detect all installed Jupyter kernels, no need for any additional configuration or extensions.

Similar setup should work for LSP. There can be some standard folder like ~/.lsp. Each installed Language Server would store its config there. This config will specify command to run the server and will contain a list of supported file patters (e.g. file extensions and special files like package.json or Cargo.toml to look for). If IDE detects that there is a Language Server suitable for the current file/directory it could ask user to run it.

Start by reviewing the Jupyter kernel discovery precedent described in the issue and the proposed ~/.lsp configuration model. No repository files, tests, or implementation entry points are named; the work is complete only after the discovery format, server configuration, and IDE matching behavior are specified and agreed.