nix3-run: add more examples (#10620)

Co-authored-by: K.B.Dharun Krishna <kbdharunkrishna@gmail.com>
Co-authored-by: Lena <126529524+acuteenvy@users.noreply.github.com>

pages/common/nix3-run.md

@@ -4,10 +4,30 @@
 > See `tldr nix3 flake` for information about flakes.
 > More information: <https://nixos.org/manual/nix/stable/command-ref/new-cli/nix3-run.html>.
 
+- Run the default application in the flake in the current directory:
+
+`nix run`
+
 - Run a command whose name matches the package name from nixpkgs (if you want a different command from that package, see `tldr nix3 shell`):
 
 `nix run nixpkgs#{{pkg}}`
 
-- Run the default application in the flake in the current directory:
+- Run a command with provided arguments:
 
-`nix run`
+`nix run nixpkgs#{{vim}} -- {{path/to/file}}`
+
+- Run from a remote repository:
+
+`nix run {{remote_name}}:{{owner}}/{{repo}}`
+
+- Run from a remote repository using a specific tag, revision or branch:
+
+`nix run {{remote_name}}:{{owner}}/{{repo}}/{{reference}}`
+
+- Run from a remote repository specifying a subdirectory and a program:
+
+`nix run "{{remote_name}}:{{owner}}/{{repo}}?dir={{dir_name}}#{{app}}"`
+
+- Run the flake of a GitHub pull request:
+
+`nix run github:{{owner}}/{{repo}}/pull/{{number}}/head`