test(e2e): test login page

yarn.lock

@@ -3133,6 +3133,34 @@ __metadata:
   languageName: node
   linkType: hard
 
+"dotenv-cli@npm:^8.0.0":
+  version: 8.0.0
+  resolution: "dotenv-cli@npm:8.0.0"
+  dependencies:
+    cross-spawn: "npm:^7.0.6"
+    dotenv: "npm:^16.3.0"
+    dotenv-expand: "npm:^10.0.0"
+    minimist: "npm:^1.2.6"
+  bin:
+    dotenv: cli.js
+  checksum: 10c0/000469632758b7b44aaaa80cbbbd7f0c94dc170ec02e51aa8d8280341a0108fb7407954c23054257b77235b064033efdb8745836633eb6fd1586924953cf0528
+  languageName: node
+  linkType: hard
+
+"dotenv-expand@npm:^10.0.0":
+  version: 10.0.0
+  resolution: "dotenv-expand@npm:10.0.0"
+  checksum: 10c0/298f5018e29cfdcb0b5f463ba8e8627749103fbcf6cf81c561119115754ed582deee37b49dfc7253028aaba875ab7aea5fa90e5dac88e511d009ab0e6677924e
+  languageName: node
+  linkType: hard
+
+"dotenv@npm:^16.3.0":
+  version: 16.5.0
+  resolution: "dotenv@npm:16.5.0"
+  checksum: 10c0/5bc94c919fbd955bf0ba44d33922a1e93d1078e64a1db5c30faeded1d996e7a83c55332cb8ea4fae5a9ca4d0be44cbceb95c5811e70f9f095298df09d1997dd9
+  languageName: node
+  linkType: hard
+
 "dunder-proto@npm:^1.0.0, dunder-proto@npm:^1.0.1":
   version: 1.0.1
   resolution: "dunder-proto@npm:1.0.1"
@@ -5372,6 +5400,7 @@ __metadata:
     class-variance-authority: "npm:^0.7.1"
     clsx: "npm:^2.1.1"
     cypress: "npm:14.3.3"
+    dotenv-cli: "npm:^8.0.0"
     eslint: "npm:9.26.0"
     eslint-config-next: "npm:15.3.2"
     eslint-config-prettier: "npm:10.1.5"