cli: Use existing release channel name (#34771)

Remove the local `RELEASE_CHANNEL` source that seems to be used only for
Linux as opposed to `channel_release::CHANNEL_RELEASE_NAME` for other
platform
Windows:
https://github.com/zed-industries/zed/blob/eee1b1f8a8ba47a14efc524a21b63d896b03feff/crates/cli/src/main.rs#L681-L685

Release Notes:

- N/A
eb22639dffJakub Panek committed on 8/8/2025, 6:49:36 AM· committed by GitHubparent738968e
1 file changedLine totals unavailable