Delete release process docs (#41733)

These have been migrated to the README.md
[here](https://github.com/zed-industries/release_notes). These don't
need to be public. Putting them in the same repo where we draft
(`release_notes`) means less jumping around and allows us to include
additional information we might not want to make public.

Release Notes:

- N/A
548cdfde3aJoseph T. Lyons committed on 11/2/2025, 4:37:02 AM· committed by GitHubparent2408f76
3 files changedLine totals unavailable