test(nextjs): Test pages router API routes incoming trace propagation

[lforst]

Add regression test for trace propagation in Next.js pages router api routes as fixed in #14813.

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	23.16 KB	added	added
@sentry/browser - with treeshaking flags	21.83 KB	added	added
@sentry/browser (incl. Tracing)	35.66 KB	added	added
@sentry/browser (incl. Tracing, Replay)	72.91 KB	added	added
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	63.31 KB	added	added
@sentry/browser (incl. Tracing, Replay with Canvas)	77.32 KB	added	added
@sentry/browser (incl. Tracing, Replay, Feedback)	89.71 KB	added	added
@sentry/browser (incl. Feedback)	39.91 KB	added	added
@sentry/browser (incl. sendFeedback)	27.77 KB	added	added
@sentry/browser (incl. FeedbackAsync)	32.53 KB	added	added
@sentry/react	25.88 KB	added	added
@sentry/react (incl. Tracing)	38.51 KB	added	added
@sentry/vue	27.38 KB	added	added
@sentry/vue (incl. Tracing)	37.51 KB	added	added
@sentry/svelte	23.31 KB	added	added
CDN Bundle	24.26 KB	added	added
CDN Bundle (incl. Tracing)	35.81 KB	added	added
CDN Bundle (incl. Tracing, Replay)	70.92 KB	added	added
CDN Bundle (incl. Tracing, Replay, Feedback)	76.21 KB	added	added
CDN Bundle - uncompressed	71.32 KB	added	added
CDN Bundle (incl. Tracing) - uncompressed	106.78 KB	added	added
CDN Bundle (incl. Tracing, Replay) - uncompressed	220.85 KB	added	added
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	234.05 KB	added	added
@sentry/nextjs (client)	38.79 KB	added	added
@sentry/sveltekit (client)	36.18 KB	added	added
@sentry/node	158.03 KB	added	added
@sentry/node - without tracing	98.93 KB	added	added
@sentry/aws-serverless	126.65 KB	added	added

[codecov]

❌ 2 Tests Failed:

Tests completed	Failed	Passed	Skipped
251	2	249	9

View the top 2 failed tests by shortest run time

pages-api-handler-trace-propagation.test.ts Should create a transaction that has the same trace ID as the incoming request

Stack Traces | 0.092s run time

pages-api-handler-trace-propagation.test.ts:4:5 Should create a transaction that has the same trace ID as the incoming request

transactions.test.ts Should send a wrapped server action as a child of a nextjs transaction

Stack Traces | 0.248s run time

transactions.test.ts:79:5 Should send a wrapped server action as a child of a nextjs transaction

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