test: add playwright with basic tests for home page

yarn.lock

@@ -907,6 +907,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@playwright/test@npm:^1.45.1":
+  version: 1.45.1
+  resolution: "@playwright/test@npm:1.45.1"
+  dependencies:
+    playwright: "npm:1.45.1"
+  bin:
+    playwright: cli.js
+  checksum: ba214addee06e846041b819b8bcc2b04dae1beb36d05cd0942bb0fc7f9742002c881e2058b75aba37a8baef9a3aaff66e818b20b8013e9020d2cc28ff0c655d7
+  languageName: node
+  linkType: hard
+
 "@popperjs/core@npm:^2.11.8":
   version: 2.11.8
   resolution: "@popperjs/core@npm:2.11.8"
@@ -1692,6 +1703,7 @@ __metadata:
     "@emotion/styled": "npm:^11.11.0"
     "@mui/lab": "npm:^5.0.0-alpha.170"
     "@mui/material": "npm:^5.15.6"
+    "@playwright/test": "npm:^1.45.1"
     "@prisma/client": "npm:5.8.1"
     "@types/node": "npm:^20"
     "@types/react": "npm:^18"
@@ -1699,6 +1711,7 @@ __metadata:
     "@typescript-eslint/eslint-plugin": "npm:^6.19.1"
     "@vercel/analytics": "npm:^1.1.2"
     autoprefixer: "npm:^10.0.1"
+    dotenv: "npm:^16.4.5"
     eslint: "npm:^8"
     eslint-config-next: "npm:14.1.0"
     eslint-config-prettier: "npm:^9.1.0"
@@ -2230,6 +2243,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"dotenv@npm:^16.4.5":
+  version: 16.4.5
+  resolution: "dotenv@npm:16.4.5"
+  checksum: 48d92870076832af0418b13acd6e5a5a3e83bb00df690d9812e94b24aff62b88ade955ac99a05501305b8dc8f1b0ee7638b18493deb6fe93d680e5220936292f
+  languageName: node
+  linkType: hard
+
 "eastasianwidth@npm:^0.2.0":
   version: 0.2.0
   resolution: "eastasianwidth@npm:0.2.0"
@@ -2904,6 +2924,16 @@ __metadata:
   languageName: node
   linkType: hard
 
+"fsevents@npm:2.3.2":
+  version: 2.3.2
+  resolution: "fsevents@npm:2.3.2"
+  dependencies:
+    node-gyp: "npm:latest"
+  checksum: be78a3efa3e181cda3cf7a4637cb527bcebb0bd0ea0440105a3bb45b86f9245b307dc10a2507e8f4498a7d4ec349d1910f4d73e4d4495b16103106e07eee735b
+  conditions: os=darwin
+  languageName: node
+  linkType: hard
+
 "fsevents@npm:~2.3.2":
   version: 2.3.3
   resolution: "fsevents@npm:2.3.3"
@@ -2914,6 +2944,15 @@ __metadata:
   languageName: node
   linkType: hard
 
+"fsevents@patch:fsevents@npm%3A2.3.2#optional!builtin<compat/fsevents>":
+  version: 2.3.2
+  resolution: "fsevents@patch:fsevents@npm%3A2.3.2#optional!builtin<compat/fsevents>::version=2.3.2&hash=df0bf1"
+  dependencies:
+    node-gyp: "npm:latest"
+  conditions: os=darwin
+  languageName: node
+  linkType: hard
+
 "fsevents@patch:fsevents@npm%3A~2.3.2#optional!builtin<compat/fsevents>":
   version: 2.3.3
   resolution: "fsevents@patch:fsevents@npm%3A2.3.3#optional!builtin<compat/fsevents>::version=2.3.3&hash=df0bf1"
@@ -4811,6 +4850,30 @@ __metadata:
   languageName: node
   linkType: hard
 
+"playwright-core@npm:1.45.1":
+  version: 1.45.1
+  resolution: "playwright-core@npm:1.45.1"
+  bin:
+    playwright-core: cli.js
+  checksum: 607ad31ce1e85e2042107954eeed2cb7de5f387b42d9c8c19baa5c1ea4c2ea621bf233094ed86be45de625eeece33b280847ff641ff1bb9acaddee040e17bea1
+  languageName: node
+  linkType: hard
+
+"playwright@npm:1.45.1":
+  version: 1.45.1
+  resolution: "playwright@npm:1.45.1"
+  dependencies:
+    fsevents: "npm:2.3.2"
+    playwright-core: "npm:1.45.1"
+  dependenciesMeta:
+    fsevents:
+      optional: true
+  bin:
+    playwright: cli.js
+  checksum: 549e8621b120258ff53e93fcf3b2994a835aa084097ea533a9f4b53ff993308f3617cf00943c6975f88b66068890a6bf9d61b4ffdd73b7d8f45a5d284b6f284b
+  languageName: node
+  linkType: hard
+
 "postcss-import@npm:^15.1.0":
   version: 15.1.0
   resolution: "postcss-import@npm:15.1.0"