ref(node): Remove vercel flushing code that does nothing

[mydea]

We could never get this to apply properly on vercel in production, so we're removing this for now and may revisit this later.

Replaces #16178

[github-actions]

size-limit report 📦

⚠️ Warning: Base artifact is not the latest one, because the latest workflow run is not done yet. This may lead to incorrect results. Try to re-run all tests to get up to date results.

Path	Size	% Change	Change
@sentry/browser	23.35 KB	-	-
@sentry/browser - with treeshaking flags	23.19 KB	-	-
@sentry/browser (incl. Tracing)	37.25 KB	-	-
@sentry/browser (incl. Tracing, Replay)	74.47 KB	-	-
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	68.34 KB	-	-
@sentry/browser (incl. Tracing, Replay with Canvas)	79.12 KB	-	-
@sentry/browser (incl. Tracing, Replay, Feedback)	90.93 KB	-	-
@sentry/browser (incl. Feedback)	39.75 KB	-	-
@sentry/browser (incl. sendFeedback)	27.98 KB	-	-
@sentry/browser (incl. FeedbackAsync)	32.74 KB	-	-
@sentry/react	25.16 KB	-	-
@sentry/react (incl. Tracing)	39.24 KB	-	-
@sentry/vue	27.63 KB	-	-
@sentry/vue (incl. Tracing)	39.01 KB	-	-
@sentry/svelte	23.38 KB	-	-
CDN Bundle	24.55 KB	-	-
CDN Bundle (incl. Tracing)	37.29 KB	-	-
CDN Bundle (incl. Tracing, Replay)	72.33 KB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback)	77.64 KB	-	-
CDN Bundle - uncompressed	71.62 KB	-	-
CDN Bundle (incl. Tracing) - uncompressed	110.34 KB	-	-
CDN Bundle (incl. Tracing, Replay) - uncompressed	221.63 KB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	234.15 KB	-	-
@sentry/nextjs (client)	40.84 KB	-	-
@sentry/sveltekit (client)	37.73 KB	-	-
@sentry/node	143.92 KB	-0.36%	-518 B 🔽
@sentry/node - without tracing	95.76 KB	-0.56%	-548 B 🔽
@sentry/aws-serverless	120.15 KB	-0.43%	-525 B 🔽

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