Claude experiment (#34577)

Release Notes:

- N/A

---------

Co-authored-by: Conrad Irwin <conrad.irwin@gmail.com>
Co-authored-by: Anthony Eid <hello@anthonyeid.me>
Co-authored-by: Ben Brandt <benjamin.j.brandt@gmail.com>
Co-authored-by: Nathan Sobo <nathan@zed.dev>
Co-authored-by: Oleksiy Syvokon <oleksiy.syvokon@gmail.com>

crates/zed/Cargo.toml

@@ -95,6 +95,7 @@ svg_preview.workspace = true
 menu.workspace = true
 migrator.workspace = true
 mimalloc = { version = "0.1", optional = true }
+nc.workspace = true
 nix = { workspace = true, features = ["pthread", "signal"] }
 node_runtime.workspace = true
 notifications.workspace = true