feat: integrate Sentry for error tracking and performance monitoring

- Added Sentry module to nuxt.config.ts and configured it for both client and server.
- Updated package.json to include @sentry/nuxt dependency.
- Created sentry.client.config.ts and sentry.server.config.ts for Sentry initialization with appropriate settings.
- Adjusted route rules and added additional configurations in nuxt.config.ts.

sentry.server.config.ts

@@ -0,0 +1,12 @@
+import * as Sentry from "@sentry/nuxt";
+
+Sentry.init({
+  dsn: "https://1bbb1ceec04d13efdffa583ac5453e08@o4507948895174656.ingest.us.sentry.io/4509303135862784",
+
+  // We recommend adjusting this value in production, or using tracesSampler
+  // for finer control
+  tracesSampleRate: 1.0,
+
+  // Setting this option to true will print useful information to the console while you're setting up Sentry.
+  debug: false,
+});