chore: bump @playwright/test to ^1.57.0; drop unused root dotenv

The root devDependencies still pinned an older Playwright (1.48.2)
plus a stray `dotenv` that nothing in the e2e suite or root scripts
actually requires (verified via grep across tests/). Updates the
Playwright version to match the current upstream stable and removes
the unused dotenv to keep the root install lean.

Originated from a local stash that picked up these changes; landing
them as a small dedicated commit so they don't blend into the auth
fix that follows.

package-lock.json

@@ -10,8 +10,7 @@
         "node-fetch": "^2.7.0"
       },
       "devDependencies": {
-        "@playwright/test": "^1.48.2",
-        "dotenv": "^17.3.1",
+        "@playwright/test": "^1.57.0",
         "puppeteer": "^24.17.0"
       }
     },
@@ -41,13 +40,13 @@
       }
     },
     "node_modules/@playwright/test": {
-      "version": "1.55.0",
-      "resolved": "https://registry.npmjs.org/@playwright/test/-/test-1.55.0.tgz",
-      "integrity": "sha512-04IXzPwHrW69XusN/SIdDdKZBzMfOT9UNT/YiJit/xpy2VuAoB8NHc8Aplb96zsWDddLnbkPL3TsmrS04ZU2xQ==",
+      "version": "1.57.0",
+      "resolved": "https://registry.npmjs.org/@playwright/test/-/test-1.57.0.tgz",
+      "integrity": "sha512-6TyEnHgd6SArQO8UO2OMTxshln3QMWBtPGrOCgs3wVEmQmwyuNtB10IZMfmYDE0riwNR1cu4q+pPcxMVtaG3TA==",
       "dev": true,
       "license": "Apache-2.0",
       "dependencies": {
-        "playwright": "1.55.0"
+        "playwright": "1.57.0"
       },
       "bin": {
         "playwright": "cli.js"
@@ -562,19 +561,6 @@
       "license": "BSD-3-Clause",
       "peer": true
     },
-    "node_modules/dotenv": {
-      "version": "17.3.1",
-      "resolved": "https://registry.npmjs.org/dotenv/-/dotenv-17.3.1.tgz",
-      "integrity": "sha512-IO8C/dzEb6O3F9/twg6ZLXz164a2fhTnEWb95H23Dm4OuN+92NmEAlTrupP9VW6Jm3sO26tQlqyvyi4CsnY9GA==",
-      "dev": true,
-      "license": "BSD-2-Clause",
-      "engines": {
-        "node": ">=12"
-      },
-      "funding": {
-        "url": "https://dotenvx.com"
-      }
-    },
     "node_modules/emoji-regex": {
       "version": "8.0.0",
       "resolved": "https://registry.npmjs.org/emoji-regex/-/emoji-regex-8.0.0.tgz",
@@ -1131,13 +1117,13 @@
       "license": "ISC"
     },
     "node_modules/playwright": {
-      "version": "1.55.0",
-      "resolved": "https://registry.npmjs.org/playwright/-/playwright-1.55.0.tgz",
-      "integrity": "sha512-sdCWStblvV1YU909Xqx0DhOjPZE4/5lJsIS84IfN9dAZfcl/CIZ5O8l3o0j7hPMjDvqoTF8ZUcc+i/GL5erstA==",
+      "version": "1.57.0",
+      "resolved": "https://registry.npmjs.org/playwright/-/playwright-1.57.0.tgz",
+      "integrity": "sha512-ilYQj1s8sr2ppEJ2YVadYBN0Mb3mdo9J0wQ+UuDhzYqURwSoW4n1Xs5vs7ORwgDGmyEh33tRMeS8KhdkMoLXQw==",
       "dev": true,
       "license": "Apache-2.0",
       "dependencies": {
-        "playwright-core": "1.55.0"
+        "playwright-core": "1.57.0"
       },
       "bin": {
         "playwright": "cli.js"
@@ -1150,9 +1136,9 @@
       }
     },
     "node_modules/playwright-core": {
-      "version": "1.55.0",
-      "resolved": "https://registry.npmjs.org/playwright-core/-/playwright-core-1.55.0.tgz",
-      "integrity": "sha512-GvZs4vU3U5ro2nZpeiwyb0zuFaqb9sUiAJuyrWpcGouD8y9/HLgGbNRjIph7zU9D3hnPaisMl9zG9CgFi/biIg==",
+      "version": "1.57.0",
+      "resolved": "https://registry.npmjs.org/playwright-core/-/playwright-core-1.57.0.tgz",
+      "integrity": "sha512-agTcKlMw/mjBWOnD6kFZttAAGHgi/Nw0CZ2o6JqWSbMlI219lAFLZZCyqByTsvVAJq5XA5H8cA6PrvBRpBWEuQ==",
       "dev": true,
       "license": "Apache-2.0",
       "bin": {