feat: Sentry error monitoring for React frontend (#98)

* feat: add Sentry error monitoring, tracing, and session replay

- Install @sentry/react and @sentry/vite-plugin
- Create instrument.ts with error monitoring, browser tracing (20% prod),
  and session replay (10% sessions, 100% on errors)
- Wire React 19 reactErrorHandler() on createRoot error hooks
- Wrap router with wrapCreateBrowserRouterV7 for route-aware transactions
- Configure sentryVitePlugin for source map uploads
- Add VITE_SENTRY_DSN to .env.example

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

* feat: add Sentry error monitoring and tracing to FastAPI backend

- Install sentry-sdk[fastapi] with auto-enabled FastAPI + Anthropic
  integrations
- Init before app = FastAPI() with env-aware sample rates
  (100% dev, 20% prod)
- Filter /health endpoint from traces to reduce noise
- Add SENTRY_DSN to config settings

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

---------

Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>

frontend/src/router.tsx

@@ -1,9 +1,12 @@
 import { createBrowserRouter } from 'react-router-dom'
+import * as Sentry from '@sentry/react'
 import { lazy, Suspense } from 'react'
 import { AppLayout, ProtectedRoute } from '@/components/layout'
 import { RouteError } from '@/components/common/RouteError'
 import { ErrorBoundary } from '@/components/common/ErrorBoundary'
 import { PageLoader } from '@/components/common/PageLoader'
+
+const sentryCreateBrowserRouter = Sentry.wrapCreateBrowserRouterV7(createBrowserRouter)
 import {
   LoginPage,
   RegisterPage,
@@ -73,7 +76,7 @@ function page(Component: React.LazyExoticComponent<React.ComponentType>) {
   )
 }
 
-export const router = createBrowserRouter([
+export const router = sentryCreateBrowserRouter([
   {
     path: '/login',
     element: <LoginPage />,