feat: integrate Sentry for error monitoring in Next.js application

- Added Sentry configuration for edge features in `sentry.edge.config.ts`
- Added Sentry configuration for server-side in `sentry.server.config.ts`
- Created a sample API route to demonstrate error tracking in `src/app/api/sentry-example-api/route.ts`
- Developed a frontend page to trigger and log errors in `src/app/sentry-example-page/page.tsx`
- Configured client-side Sentry initialization in `src/instrumentation-client.ts` with Replay integration
- Implemented instrumentation registration logic in `src/instrumentation.ts`

package.json

@@ -26,6 +26,7 @@
   },
   "dependencies": {
     "@fingerprintjs/fingerprintjs": "^5.2.0",
+    "@sentry/nextjs": "^10.61.0",
     "@stripe/react-stripe-js": "^6.6.0",
     "@stripe/stripe-js": "^9.8.0",
     "@xstate/react": "^5",