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`

.gitignore

@@ -58,3 +58,6 @@ implementation_plan.md
 # PWA build artifacts (regenerated each build, hashes change)
 public/sw.js
 public/workbox-*.js
+
+# Sentry Config File
+.env.sentry-build-plugin