feat(browser/cloudflare): Export conversation id from browser and cloudflare runtimes

[nicohrubec]

Closes #19733

[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	25.64 kB	-	-
@sentry/browser - with treeshaking flags	24.14 kB	-	-
@sentry/browser (incl. Tracing)	42.62 kB	-	-
@sentry/browser (incl. Tracing, Profiling)	47.28 kB	-	-
@sentry/browser (incl. Tracing, Replay)	81.42 kB	-	-
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	71 kB	-	-
@sentry/browser (incl. Tracing, Replay with Canvas)	86.12 kB	-	-
@sentry/browser (incl. Tracing, Replay, Feedback)	98.37 kB	-	-
@sentry/browser (incl. Feedback)	42.45 kB	-	-
@sentry/browser (incl. sendFeedback)	30.31 kB	-	-
@sentry/browser (incl. FeedbackAsync)	35.36 kB	-	-
@sentry/browser (incl. Metrics)	26.92 kB	-	-
@sentry/browser (incl. Logs)	27.07 kB	-	-
@sentry/browser (incl. Metrics & Logs)	27.74 kB	-	-
@sentry/react	27.39 kB	-	-
@sentry/react (incl. Tracing)	44.95 kB	-	-
@sentry/vue	30.08 kB	-	-
@sentry/vue (incl. Tracing)	44.48 kB	-	-
@sentry/svelte	25.66 kB	-	-
CDN Bundle	28.28 kB	+0.04%	+11 B 🔺
CDN Bundle (incl. Tracing)	43.51 kB	+0.03%	+10 B 🔺
CDN Bundle (incl. Logs, Metrics)	29.14 kB	+0.05%	+12 B 🔺
CDN Bundle (incl. Tracing, Logs, Metrics)	44.36 kB	+0.03%	+11 B 🔺
CDN Bundle (incl. Replay, Logs, Metrics)	68.21 kB	+0.02%	+12 B 🔺
CDN Bundle (incl. Tracing, Replay)	80.33 kB	+0.02%	+13 B 🔺
CDN Bundle (incl. Tracing, Replay, Logs, Metrics)	81.23 kB	+0.02%	+13 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback)	85.87 kB	+0.02%	+12 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback, Logs, Metrics)	86.77 kB	+0.02%	+12 B 🔺
CDN Bundle - uncompressed	82.62 kB	+0.08%	+59 B 🔺
CDN Bundle (incl. Tracing) - uncompressed	128.56 kB	+0.05%	+59 B 🔺
CDN Bundle (incl. Logs, Metrics) - uncompressed	85.49 kB	+0.07%	+59 B 🔺
CDN Bundle (incl. Tracing, Logs, Metrics) - uncompressed	131.43 kB	+0.05%	+59 B 🔺
CDN Bundle (incl. Replay, Logs, Metrics) - uncompressed	209.12 kB	+0.03%	+59 B 🔺
CDN Bundle (incl. Tracing, Replay) - uncompressed	245.41 kB	+0.03%	+59 B 🔺
CDN Bundle (incl. Tracing, Replay, Logs, Metrics) - uncompressed	248.26 kB	+0.03%	+59 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	258.32 kB	+0.03%	+59 B 🔺
CDN Bundle (incl. Tracing, Replay, Feedback, Logs, Metrics) - uncompressed	261.17 kB	+0.03%	+59 B 🔺
@sentry/nextjs (client)	47.37 kB	-	-
@sentry/sveltekit (client)	43.07 kB	-	-
@sentry/node-core	56.34 kB	+0.02%	+10 B 🔺
@sentry/node	173.16 kB	-0.02%	-21 B 🔽
@sentry/node - without tracing	96.35 kB	+0.01%	+5 B 🔺
@sentry/aws-serverless	113.34 kB	+0.01%	+7 B 🔺

View base workflow run

[chargome]

q: Double checking, are these exports consistent with node?