build(flake): add home-manager and example config

flake.lock

@@ -96,6 +96,26 @@
         "type": "github"
       }
     },
+    "home-manager": {
+      "inputs": {
+        "nixpkgs": [
+          "nixpkgs"
+        ]
+      },
+      "locked": {
+        "lastModified": 1751810302,
+        "narHash": "sha256-iV3C4l4XqPFcfJIHWQTOeSTuDgFg+ESdUeiYxCSgebE=",
+        "owner": "nix-community",
+        "repo": "home-manager",
+        "rev": "502d9b7d30a1f5940ecdb786b4f71ebf57b1ac13",
+        "type": "github"
+      },
+      "original": {
+        "owner": "nix-community",
+        "repo": "home-manager",
+        "type": "github"
+      }
+    },
     "import-tree": {
       "locked": {
         "lastModified": 1751399845,
@@ -154,6 +174,7 @@
         "files": "files",
         "flake-parts": "flake-parts",
         "git-hooks": "git-hooks",
+        "home-manager": "home-manager",
         "import-tree": "import-tree",
         "make-shell": "make-shell",
         "nixpkgs": "nixpkgs",