docs(docs): add projects-sync documentation and update Hyprland display configuration details

docs/shell/scripts.mdx

@@ -50,6 +50,7 @@ Several scripts below also exist as fish functions of the same name (`ai`, `c2p`
 | [`mtime-sort`](#mtime-sort) | sh + perl | Sort path lines newest-first by mtime |
 | [`omp-session`](#omp-session) | python3 | Resume or start omp for the current repo; backend of the `omp-sessions` cable |
 | [`pj`](#pj) | bash | Task runner across every project task source, on a tv cable |
+| [`projects-sync`](#projects-sync) | bash | Symlink every `~/Code` repo into `~/Projects` |
 | [`pj-palette`](#pj-palette) | bash | pj's tasks plus quick actions as a tmux-palette source |
 | [`yazi-nvim-open`](#yazi-nvim-open) | sh | yazi opener that targets the host Neovim |
 
@@ -264,6 +265,18 @@ Lists `*.md` files up to 3 directories deep with `fd`. fzf shows an `mdfried` pr
 
 **Needs:** `fd`, `fzf`, `mdfried`.
 
+## projects-sync
+
+```sh
+projects-sync
+```
+
+Mirrors every repo under the ghq root (`$GHQ_ROOT`, default `~/Code`, laid out `<host>/<owner>/<repo>`) as `~/Projects/<repo>` → the repo. Repos with the same name under different owners become `<owner>-<repo>`. Links pointing into `~/Code` whose repo is gone are removed; real files, real directories, and links pointing elsewhere in `~/Projects` are never touched.
+
+Run by `projects-sync.timer` (`dot_config/systemd/user/`, 30 s after login and every 5 minutes), which [`30-user-services`](/chezmoi/scripts#30-user-services) enables. ghq clones land two levels below `~/Code`, out of reach of a non-recursive `.path` unit, hence the poll.
+
+**Needs:** GNU `find`. Linux desktop/laptop roles only (`.chezmoiignore.tmpl`).
+
 ## mtime-sort
 
 ```sh