feat: migrate from Cypress to Playwright for E2E testing

- Remove Cypress dependencies and configuration files
- Install @playwright/test with browser support
- Add playwright.config.ts with optimized settings for Next.js
- Migrate existing Cypress tests to Playwright format
- Add new E2E test scripts to package.json
- Configure GitHub Actions workflow for automated testing
- Update .gitignore for Playwright artifacts

BREAKING CHANGE: E2E testing framework changed from Cypress to Playwright

.github/workflows/playwright.yml

@@ -0,0 +1,27 @@
+name: Playwright Tests
+on:
+  push:
+    branches: [main, master]
+  pull_request:
+    branches: [main, master]
+jobs:
+  test:
+    timeout-minutes: 60
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: actions/setup-node@v4
+        with:
+          node-version: lts/*
+      - name: Install dependencies
+        run: npm ci
+      - name: Install Playwright Browsers
+        run: npx playwright install --with-deps
+      - name: Run Playwright tests
+        run: npm run test:e2e
+      - uses: actions/upload-artifact@v4
+        if: always()
+        with:
+          name: playwright-report
+          path: playwright-report/
+          retention-days: 30