chore: separate backend from frontend

flake.lock

@@ -68,11 +68,11 @@
         ]
       },
       "locked": {
-        "lastModified": 1761922975,
-        "narHash": "sha256-j4EB5ku/gDm7h7W7A+k70RYj5nUiW/l9wQtXMJUD2hg=",
+        "lastModified": 1763136231,
+        "narHash": "sha256-QVtIjPSQ/xVhuXSSENYOYZPfrjjc/W/djuxcJyKxGTw=",
         "owner": "cachix",
         "repo": "devenv",
-        "rev": "c9f0b47815a4895fadac87812de8a4de27e0ace1",
+        "rev": "4b8c2bbdb4e01ef8c4093ee1224fe21ed5ea1a5e",
         "type": "github"
       },
       "original": {
@@ -81,6 +81,18 @@
         "type": "github"
       }
     },
+    "devenv-root": {
+      "flake": false,
+      "locked": {
+        "narHash": "sha256-d6xi4mKdjkX2JFicDIv5niSzpyI0m/Hnm8GGAIU04kY=",
+        "type": "file",
+        "url": "file:///dev/null"
+      },
+      "original": {
+        "type": "file",
+        "url": "file:///dev/null"
+      }
+    },
     "fenix": {
       "inputs": {
         "nixpkgs": [
@@ -140,6 +152,24 @@
         "type": "github"
       }
     },
+    "flake-utils": {
+      "inputs": {
+        "systems": "systems"
+      },
+      "locked": {
+        "lastModified": 1731533236,
+        "narHash": "sha256-l0KFg5HjrsfsO/JpG+r7fRrqm12kzFHyUHqHCVpMMbI=",
+        "owner": "numtide",
+        "repo": "flake-utils",
+        "rev": "11707dc2f618dd54ca8739b309ec4fc024de578b",
+        "type": "github"
+      },
+      "original": {
+        "owner": "numtide",
+        "repo": "flake-utils",
+        "type": "github"
+      }
+    },
     "flakeCompat": {
       "flake": false,
       "locked": {
@@ -264,9 +294,10 @@
       "inputs": {
         "alejandra": "alejandra",
         "devenv": "devenv",
+        "devenv-root": "devenv-root",
+        "flake-utils": "flake-utils",
         "nixpkgs": "nixpkgs",
-        "rust-overlay": "rust-overlay",
-        "systems": "systems"
+        "rust-overlay": "rust-overlay"
       }
     },
     "rust-analyzer-src": {
@@ -293,11 +324,11 @@
         ]
       },
       "locked": {
-        "lastModified": 1762223900,
-        "narHash": "sha256-caxpESVH71mdrdihYvQZ9rTZPZqW0GyEG9un7MgpyRM=",
+        "lastModified": 1763174172,
+        "narHash": "sha256-u6dcvXk2K6eYVYhmfiN3xmhIf3yUo5KPwm79UOD37Jo=",
         "owner": "oxalica",
         "repo": "rust-overlay",
-        "rev": "cfe1598d69a42a5edb204770e71b8df77efef2c3",
+        "rev": "89af6762b01409edbb595888a69311e8e5954110",
         "type": "github"
       },
       "original": {