feat(website): add Sentry error monitoring, tracing, and session replay (#395)

* feat(website): add Sentry error boundary and withSentryConfig build wrapper

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

* feat(website): add Sentry SDK init for client, server, and edge runtimes

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

---------

Co-authored-by: Ajit Pratap Singh <ajitpratapsingh@Ajits-Mac-mini-2655.local>
Co-authored-by: Claude Sonnet 4.6 <noreply@anthropic.com>

Author: 3 people

website/next.config.ts

@@ -1,11 +1,13 @@
 import type { NextConfig } from 'next';
 import withBundleAnalyzer from '@next/bundle-analyzer';
+import { withSentryConfig } from '@sentry/nextjs';
 
 const withAnalyzer = withBundleAnalyzer({
   enabled: process.env.ANALYZE === 'true',
 });
 
 const nextConfig: NextConfig = {
+  trailingSlash: true,
   async headers() {
     return [
       {
@@ -65,4 +67,15 @@ const nextConfig: NextConfig = {
   },
 };
 
-export default withAnalyzer(nextConfig);
+export default withSentryConfig(
+  withAnalyzer(nextConfig),
+  {
+    org: process.env.SENTRY_ORG,
+    project: process.env.SENTRY_PROJECT,
+    authToken: process.env.SENTRY_AUTH_TOKEN,
+    widenClientFileUpload: true,
+    tunnelRoute: '/monitoring',
+    silent: !process.env.CI,
+    // Tree-shaking disabled — using Turbopack which doesn't support webpack tree-shaking
+  }
+);