refactor(flake): split root output wiring

src/flake/default.nix

@@ -0,0 +1,34 @@
+{
+  lib,
+  inputs,
+  self,
+  root,
+  system,
+}:
+let
+  dotfiles = import ../dotfiles {
+    inherit
+      inputs
+      lib
+      self
+      ;
+    root = root + "/configs/nixos";
+  };
+in
+{
+  formatter.${system} =
+    (import ./formatter.nix {
+      inherit inputs system;
+    }).config.build.wrapper;
+
+  apps.${system} = import ./apps.nix {
+    inherit
+      inputs
+      lib
+      system
+      ;
+    formatter = self.formatter.${system};
+  };
+
+  inherit (dotfiles) nixosConfigurations;
+}