feat(nextjs): Use OTEL instrumentation for route handlers

[chargome]

fixes #13593

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	22.73 KB	added	added
@sentry/browser - with treeshaking flags	21.53 KB	added	added
@sentry/browser (incl. Tracing)	34.97 KB	added	added
@sentry/browser (incl. Tracing, Replay)	71.5 KB	added	added
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	61.91 KB	added	added
@sentry/browser (incl. Tracing, Replay with Canvas)	75.82 KB	added	added
@sentry/browser (incl. Tracing, Replay, Feedback)	88.59 KB	added	added
@sentry/browser (incl. Tracing, Replay, Feedback, metrics)	90.46 KB	added	added
@sentry/browser (incl. metrics)	27 KB	added	added
@sentry/browser (incl. Feedback)	39.87 KB	added	added
@sentry/browser (incl. sendFeedback)	27.38 KB	added	added
@sentry/browser (incl. FeedbackAsync)	32.17 KB	added	added
@sentry/react	25.49 KB	added	added
@sentry/react (incl. Tracing)	37.94 KB	added	added
@sentry/vue	26.9 KB	added	added
@sentry/vue (incl. Tracing)	36.86 KB	added	added
@sentry/svelte	22.87 KB	added	added
CDN Bundle	24.05 KB	added	added
CDN Bundle (incl. Tracing)	36.76 KB	added	added
CDN Bundle (incl. Tracing, Replay)	71.24 KB	added	added
CDN Bundle (incl. Tracing, Replay, Feedback)	76.55 KB	added	added
CDN Bundle - uncompressed	70.53 KB	added	added
CDN Bundle (incl. Tracing) - uncompressed	109.04 KB	added	added
CDN Bundle (incl. Tracing, Replay) - uncompressed	220.93 KB	added	added
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	234.15 KB	added	added
@sentry/nextjs (client)	37.91 KB	added	added
@sentry/sveltekit (client)	35.56 KB	added	added
@sentry/node	125.03 KB	added	added
@sentry/node - without tracing	93.48 KB	added	added
@sentry/aws-serverless	103.17 KB	added	added

[codecov]

❌ 1 Tests Failed:

Tests completed	Failed	Passed	Skipped
228	1	227	14

View the top 1 failed tests by shortest run time

route-handlers.test.ts Should record exceptions and transactions for faulty route handlers

Stack Traces | 0.095s run time

route-handlers.test.ts:35:5 Should record exceptions and transactions for faulty route handlers

To view individual test run time comparison to the main branch, go to the Test Analytics Dashboard