refactor(flake): split root output wiring

src/dotfiles/default.nix

@@ -3,7 +3,6 @@
   inputs,
   self,
   root,
-  system,
 }:
 let
   util = import ./util.nix { inherit lib; };
@@ -41,20 +40,6 @@ let
   };
 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};
-  };
-
   nixosConfigurations = import ./hosts.nix {
     inherit
       inputs