This reverts commit e2bf8e5d9c9b1b14cad1c9c618bb724c04182a2c.

See
https://github.com/zed-industries/zed/pull/37050#issuecomment-3230017137
for the context: musl builds started to fail and the amount of `cfg!`s
to fix this is too large.

Instead, the lsp_log.rs has to be split and repurposed better for the
remote headless server.

Release Notes:

- N/A