feat: Implement drag-and-drop reordering for routine items and add corresponding E2E tests

Co-authored-by: Copilot <copilot@github.com>

frontend/e2e/.auth/user.json

@@ -2,20 +2,20 @@
   "cookies": [
     {
       "name": "refresh_token",
-      "value": "QCuLIgmPV2vnDfzmgvptt-mZAW1jh8UML_wwAee4OTQ",
+      "value": "GyPtMIGYCphOLBJzZ6jG87S9PKImCOhrVEvuVL0-Wu8",
       "domain": "localhost",
       "path": "/api/auth",
-      "expires": 1786912678.702645,
+      "expires": 1786993807.67933,
       "httpOnly": true,
       "secure": true,
       "sameSite": "Strict"
     },
     {
       "name": "access_token",
-      "value": "eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJlbWFpbCI6ImUyZUB0ZXN0LmNvbSIsInVzZXJfaWQiOiJlM2VmNGE2OC0zZWI3LTQ2MjQtYTI0Mi0yNmY1OTgyZDIwOWEiLCJ0b2tlbl92ZXJzaW9uIjowLCJleHAiOjE3NzkxNDc0Nzh9.P7CDplAG3MBXgtEpuYFtp6gOV5pi-6QeAYRqmE-Dkys",
+      "value": "eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJlbWFpbCI6ImUyZUB0ZXN0LmNvbSIsInVzZXJfaWQiOiJjNWUzMTkwYi1hZWIzLTRlMTEtYmFiNS1hNjBkOTM5NmEyN2QiLCJ0b2tlbl92ZXJzaW9uIjowLCJleHAiOjE3NzkyMjg2MDd9.f7dGIujexK9ffYWPM5ExUbL_UPRg0ULo778AR2J_yf0",
       "domain": "localhost",
       "path": "/",
-      "expires": 1779147478.701971,
+      "expires": 1779228607.679281,
       "httpOnly": true,
       "secure": true,
       "sameSite": "Lax"
@@ -27,11 +27,11 @@
       "localStorage": [
         {
           "name": "authSyncEvent",
-          "value": "{\"type\":\"logout\",\"at\":1779136678495}"
+          "value": "{\"type\":\"logout\",\"at\":1779217807539}"
         },
         {
           "name": "parentAuth",
-          "value": "{\"expiresAt\":1779309478870}"
+          "value": "{\"expiresAt\":1779390607821}"
         }
       ]
     }